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Finding the Third Proportional to 126,432 and 292,698

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Solution

The third proportional to 126,432 and 292,698 is: 677,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,432 : 292,698 = 292,698 : x
  2. Step 2: Convert to fraction form
    126,432/292,698 = 292,698/x
  3. Step 3: Cross multiply
    126,432x = 292,698 × 292,698
  4. Step 4: Simplify right side
    126,432x = 85,672,119,204
  5. Step 5: Solve for x
    x = 85,672,119,204/126,432
  6. Step 6: Final answer
    x = 677,614.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.