PLT OF PA24 FAILS TO VERIFY GEAR DOWN AND LOCKED. GOES AROUND WHEN ACFT SETTLES LOWER THAN NORMAL. AFTER SUBSEQUENT LNDG DISCOVERS SIGNIFICANT PROP STRIKE DAMAGE AND SOME DAMAGE TO THE ACFT ITSELF.

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WHILE ON THIRD STRAIGHT-IN FINAL; I LOWERED THE GEAR SWITCH; ADDED 1 NOTCH OF FLAPS; AND CALLED MY POS ON CTAF. ONE OTHER ACFT RPTED HIS POS AS I THOUGHT AND FELT THE FAMILIAR DRAG OF GEAR. I LOCATED OTHER ACFT AS I CONTINUED MY APCH ADDED MORE FLAPS; AND PREPARED TO LAND. I VERIFIED FUEL SWITCH; FUEL PUMP; MAINT; PROP; BUT FAILED TO VERIFY DOWN AND LOCKED. ONCE FLARED OVER THE RWY; MY ACFT CONTINUED TO 'FLOAT' AND THEN STARTED TO SINK FARTHER THAN NORMAL. I DECIDED TO GO AROUND AND ADDED FULL PWR JUST AS THE BOTTOM STARTED TO SCRAPE. I KEPT FULL PWR IN; NOSE UP ATTITUDE NORMAL SOFT FIELD SPD. ONCE AIRBORNE; I REALIZED GEAR HAD NOT EXTENDED. I RESET CIRCUIT BREAKER AND GEAR CAME DOWN AND LOCKED THEN MADE A SAFE LNDG. ONCE SHUT DOWN; I DISCOVERED I HAD SIGNIFICANT PROP STRIKE; BUT VERY LITTLE OTHER DAMAGE. I NOTIFIED NTSB; THEY SAID NO RPT WAS NECESSARY. 3 THINGS I WILL DO DIFFERENTLY: 1) NO MORE STRAIGHT-IN LNDGS AT UNCTLED ARPTS; I WILL FLY THE NORMAL PATTERN. 2) I WILL KEEP MY HAND ON LNDG GEAR SWITCH TILL DOWN AND LOCKED LIGHT. 3) IF BY CHANCE I LAND GEAR UP AGAIN; I WILL SHUT DOWN AND WALK AWAY. TAKING OFF WITH A BROKEN AIRPLANE COULD HAVE BEEN DISASTROUS.