After the first week of increase, Sarah will drink an additional 5% of 224 ounces, which is 0.05 * 224 = <<0.05*224=11.2>>11.2 ounces.
So after the first week of increase, she will drink 224 + 11.2 = <<224+11.2=235.2>>235.2 ounces of water.
Similarly, after the second week of increase, she will drink an additional 5% of 235.2 ounces, which is 0.05 * 235.2 = <<0.05*235.2=11.76>>11.76 ounces.
So after the second week of increase, she will drink 235.2 + 11.76 = <<235.2+11.76=246.96>>246.96 ounces of water.
Similarly, after the third week of increase, she will drink an additional 5% of 246.96 ounces, which is 0.05 * 246.96 = <<0.05*246.96=12.348>>12.348 ounces.
So after the third week of increase, she will drink 246.96 + 12.348 = <<246.96+12.348=259.308>>259.308 ounces of water, which rounds to the nearest ounce as 259 ounces. Answer: \boxed{259}.
Sarah drinks about 224 ounces of water each week. She would like to increase this amount by 5% each week. How much water will she drink after the third week of increase? Round your answer to the nearest ounce
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