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Finding the Third Proportional to 135,750 and 292,398

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Solution

The third proportional to 135,750 and 292,398 is: 629,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,750 : 292,398 = 292,398 : x
  2. Step 2: Convert to fraction form
    135,750/292,398 = 292,398/x
  3. Step 3: Cross multiply
    135,750x = 292,398 × 292,398
  4. Step 4: Simplify right side
    135,750x = 85,496,590,404
  5. Step 5: Solve for x
    x = 85,496,590,404/135,750
  6. Step 6: Final answer
    x = 629,809.14

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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.