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Finding the Third Proportional to 126,390 and 292,598

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Solution

The third proportional to 126,390 and 292,598 is: 677,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,390 : 292,598 = 292,598 : x
  2. Step 2: Convert to fraction form
    126,390/292,598 = 292,598/x
  3. Step 3: Cross multiply
    126,390x = 292,598 × 292,598
  4. Step 4: Simplify right side
    126,390x = 85,613,589,604
  5. Step 5: Solve for x
    x = 85,613,589,604/126,390
  6. Step 6: Final answer
    x = 677,376.29

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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.