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Finding the Third Proportional to 102,472 and 224,384

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Solution

The third proportional to 102,472 and 224,384 is: 491,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472 : 224,384 = 224,384 : x
  2. Step 2: Convert to fraction form
    102,472/224,384 = 224,384/x
  3. Step 3: Cross multiply
    102,472x = 224,384 × 224,384
  4. Step 4: Simplify right side
    102,472x = 50,348,179,456
  5. Step 5: Solve for x
    x = 50,348,179,456/102,472
  6. Step 6: Final answer
    x = 491,335.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.