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Finding the Third Proportional to 126,456 and 292,758

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Solution

The third proportional to 126,456 and 292,758 is: 677,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,456 : 292,758 = 292,758 : x
  2. Step 2: Convert to fraction form
    126,456/292,758 = 292,758/x
  3. Step 3: Cross multiply
    126,456x = 292,758 × 292,758
  4. Step 4: Simplify right side
    126,456x = 85,707,246,564
  5. Step 5: Solve for x
    x = 85,707,246,564/126,456
  6. Step 6: Final answer
    x = 677,763.38

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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.