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Finding the Third Proportional to 224,816 and 338,708

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Solution

The third proportional to 224,816 and 338,708 is: 510,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,816 : 338,708 = 338,708 : x
  2. Step 2: Convert to fraction form
    224,816/338,708 = 338,708/x
  3. Step 3: Cross multiply
    224,816x = 338,708 × 338,708
  4. Step 4: Simplify right side
    224,816x = 114,723,109,264
  5. Step 5: Solve for x
    x = 114,723,109,264/224,816
  6. Step 6: Final answer
    x = 510,297.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.