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Finding the Third Proportional to 135,742 and 292,294

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Solution

The third proportional to 135,742 and 292,294 is: 629,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,742 : 292,294 = 292,294 : x
  2. Step 2: Convert to fraction form
    135,742/292,294 = 292,294/x
  3. Step 3: Cross multiply
    135,742x = 292,294 × 292,294
  4. Step 4: Simplify right side
    135,742x = 85,435,782,436
  5. Step 5: Solve for x
    x = 85,435,782,436/135,742
  6. Step 6: Final answer
    x = 629,398.29

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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.