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Finding the Third Proportional to 137,493 and 293,151

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Solution

The third proportional to 137,493 and 293,151 is: 625,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,493 : 293,151 = 293,151 : x
  2. Step 2: Convert to fraction form
    137,493/293,151 = 293,151/x
  3. Step 3: Cross multiply
    137,493x = 293,151 × 293,151
  4. Step 4: Simplify right side
    137,493x = 85,937,508,801
  5. Step 5: Solve for x
    x = 85,937,508,801/137,493
  6. Step 6: Final answer
    x = 625,031.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.