I've recently taken delivery of a second hand Browning .308 A-bolt. I was given a pull-through for cleaning (not a boresnake) which I believe is a military item made from some form of natural fibre with a loop for a patch and a brass weight on the end. It's use was demonstrated to me so I understood cleaning with patch and gun oil and I was told I needed the correct size patch for the pull through.
However, when I've looked online for patches they seem to be for putting on a rod and pushed through and look smaller than the ones I used in the demonstration. Are these the same size when used with a pull through and, if not, does anyone have a source for where to get these from? Due to work hours it's not easy for me to get to a shop in person (which I intend to do at some point) so an online source would be useful in the mean time so that at least I'm cleaning it after each shooting outing.