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Finding the Third Proportional to 126,448 and 291,982

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Solution

The third proportional to 126,448 and 291,982 is: 674,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,448 : 291,982 = 291,982 : x
  2. Step 2: Convert to fraction form
    126,448/291,982 = 291,982/x
  3. Step 3: Cross multiply
    126,448x = 291,982 × 291,982
  4. Step 4: Simplify right side
    126,448x = 85,253,488,324
  5. Step 5: Solve for x
    x = 85,253,488,324/126,448
  6. Step 6: Final answer
    x = 674,217.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.