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Finding the Third Proportional to 137,436 and 297,081

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Solution

The third proportional to 137,436 and 297,081 is: 642,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,436 : 297,081 = 297,081 : x
  2. Step 2: Convert to fraction form
    137,436/297,081 = 297,081/x
  3. Step 3: Cross multiply
    137,436x = 297,081 × 297,081
  4. Step 4: Simplify right side
    137,436x = 88,257,120,561
  5. Step 5: Solve for x
    x = 88,257,120,561/137,436
  6. Step 6: Final answer
    x = 642,168.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.