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Finding the Third Proportional to 138,503 and 297,694

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Solution

The third proportional to 138,503 and 297,694 is: 639,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,503 : 297,694 = 297,694 : x
  2. Step 2: Convert to fraction form
    138,503/297,694 = 297,694/x
  3. Step 3: Cross multiply
    138,503x = 297,694 × 297,694
  4. Step 4: Simplify right side
    138,503x = 88,621,717,636
  5. Step 5: Solve for x
    x = 88,621,717,636/138,503
  6. Step 6: Final answer
    x = 639,854.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.