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Finding the Third Proportional to 103,932 and 224,469

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Solution

The third proportional to 103,932 and 224,469 is: 484,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,932 : 224,469 = 224,469 : x
  2. Step 2: Convert to fraction form
    103,932/224,469 = 224,469/x
  3. Step 3: Cross multiply
    103,932x = 224,469 × 224,469
  4. Step 4: Simplify right side
    103,932x = 50,386,331,961
  5. Step 5: Solve for x
    x = 50,386,331,961/103,932
  6. Step 6: Final answer
    x = 484,800.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.