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Finding the Third Proportional to 138,672 and 308,496

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Solution

The third proportional to 138,672 and 308,496 is: 686,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,672 : 308,496 = 308,496 : x
  2. Step 2: Convert to fraction form
    138,672/308,496 = 308,496/x
  3. Step 3: Cross multiply
    138,672x = 308,496 × 308,496
  4. Step 4: Simplify right side
    138,672x = 95,169,782,016
  5. Step 5: Solve for x
    x = 95,169,782,016/138,672
  6. Step 6: Final answer
    x = 686,294.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.