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Finding the Third Proportional to 178,625 and 381,814

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Solution

The third proportional to 178,625 and 381,814 is: 816,133.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,625 : 381,814 = 381,814 : x
  2. Step 2: Convert to fraction form
    178,625/381,814 = 381,814/x
  3. Step 3: Cross multiply
    178,625x = 381,814 × 381,814
  4. Step 4: Simplify right side
    178,625x = 145,781,930,596
  5. Step 5: Solve for x
    x = 145,781,930,596/178,625
  6. Step 6: Final answer
    x = 816,133.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.