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Finding the Third Proportional to 135,776 and 292,464

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Solution

The third proportional to 135,776 and 292,464 is: 629,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,776 : 292,464 = 292,464 : x
  2. Step 2: Convert to fraction form
    135,776/292,464 = 292,464/x
  3. Step 3: Cross multiply
    135,776x = 292,464 × 292,464
  4. Step 4: Simplify right side
    135,776x = 85,535,191,296
  5. Step 5: Solve for x
    x = 85,535,191,296/135,776
  6. Step 6: Final answer
    x = 629,972.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.