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
After the first week, Sarah will drink:
224 * 1.05 = <<224*1.05=235.2>>235.2 ounces
After the second week, Sarah will drink:
235.2 * 1.05 = <<235.2*1.05=246.48>>246.48 ounces
After the third week, Sarah will drink:
246.48 * 1.05 = <<246.48*1.05=258.808>>258.808 ounces
Rounded to the nearest ounce, Sarah will drink 259 ounces of water after the third week. Answer: \boxed{259}.