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. 229 ounces 235 ounces 259 ounces 706 ounces

After the first week, Sarah will increase her water intake by 5/100 * 224 ounces = <<5/100*224=11.2>>11.2 ounces.

After the first week, Sarah's water intake will increase to 224 + 11.2 = <<224+11.2=235.2>>235.2 ounces.
After the second week, Sarah's water intake will increase by 5/100 * 235.2 ounces = <<5/100*235.2=11.76>>11.76 ounces.
After the second week, her water intake will increase to 235.2 + 11.76 = <<235.2+11.76=246.96>>246.96 ounces.
After the third week, Sarah's water intake will increase by 5/100 * 246.96 ounces = <<5/100*246.96=12.348>>12.348 ounces.
After the third week, she will drink 246.96 + 12.348 = <<246.96+12.348=259.308>>259.308 ounces.
The answer should be rounded to 259 ounces. Answer: \boxed{259}.