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At that range one puff of wind and you're gone. I've tried 100 yards with a 22 and hitting an inch target is harder than you might think. I can only imagine 200 at a 3 inch target has got to be a lot harder. It's hard to control the up and down of factory ammo and hard to control that stray wisp of wind on the windage.
I got to shoot a Savage or Stevens single shot in 22 long rifle caliber at that 200 yard range once once at a friends farm in Clay county that rifle had a Pope barrell on it and it was a tack driver. I can not think of the guy that had the rifle but he had a 1903 Springfield trainer in 22 long rifle there also. My old Remingtom Targetmaster 22 long rifle was a tackdriver too but the guys single shot Pope gun had a big scope on it and it was easy to hold a bead on the metal rabbit out there with that fine rifle.