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Finding the Third Proportional to 102,038 and 220,472

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Solution

The third proportional to 102,038 and 220,472 is: 476,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,038 : 220,472 = 220,472 : x
  2. Step 2: Convert to fraction form
    102,038/220,472 = 220,472/x
  3. Step 3: Cross multiply
    102,038x = 220,472 × 220,472
  4. Step 4: Simplify right side
    102,038x = 48,607,902,784
  5. Step 5: Solve for x
    x = 48,607,902,784/102,038
  6. Step 6: Final answer
    x = 476,370.60

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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.