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Finding the Third Proportional to 161,498 and 250,059

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Solution

The third proportional to 161,498 and 250,059 is: 387,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,498 : 250,059 = 250,059 : x
  2. Step 2: Convert to fraction form
    161,498/250,059 = 250,059/x
  3. Step 3: Cross multiply
    161,498x = 250,059 × 250,059
  4. Step 4: Simplify right side
    161,498x = 62,529,503,481
  5. Step 5: Solve for x
    x = 62,529,503,481/161,498
  6. Step 6: Final answer
    x = 387,184.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.