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Finding the Third Proportional to 138,540 and 202,624

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Solution

The third proportional to 138,540 and 202,624 is: 296,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,540 : 202,624 = 202,624 : x
  2. Step 2: Convert to fraction form
    138,540/202,624 = 202,624/x
  3. Step 3: Cross multiply
    138,540x = 202,624 × 202,624
  4. Step 4: Simplify right side
    138,540x = 41,056,485,376
  5. Step 5: Solve for x
    x = 41,056,485,376/138,540
  6. Step 6: Final answer
    x = 296,351.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.