what 223 round are you using on goats out to 400+?
a 400 yard .223 rabbit gun is no problem. but in saying that. you need the right scope. and for myself I put the .223 in two groups... number 1 group is a standard twist, I think that's 12:1 which I believe gives you a heavy 55gr bullet.
number 2 group is a fast twist with a handload. (which is my .223, 8:1) this allows a much higher b.c 80gr bullet.
so as you could imagine group two is better for long range. the 80gr amax has nearly the same bc as a 152gr 7mm projectile. (rougly about .52 g1) as we all know its wind that makes the difference at long range, try beating that with your .17 or .20 cal.
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