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Finding the Third Proportional to 137,808 and 284,472

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Solution

The third proportional to 137,808 and 284,472 is: 587,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,808 : 284,472 = 284,472 : x
  2. Step 2: Convert to fraction form
    137,808/284,472 = 284,472/x
  3. Step 3: Cross multiply
    137,808x = 284,472 × 284,472
  4. Step 4: Simplify right side
    137,808x = 80,924,318,784
  5. Step 5: Solve for x
    x = 80,924,318,784/137,808
  6. Step 6: Final answer
    x = 587,225.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.