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Finding the Third Proportional to 224,497 and 348,551

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Solution

The third proportional to 224,497 and 348,551 is: 541,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,497 : 348,551 = 348,551 : x
  2. Step 2: Convert to fraction form
    224,497/348,551 = 348,551/x
  3. Step 3: Cross multiply
    224,497x = 348,551 × 348,551
  4. Step 4: Simplify right side
    224,497x = 121,487,799,601
  5. Step 5: Solve for x
    x = 121,487,799,601/224,497
  6. Step 6: Final answer
    x = 541,155.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.