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Finding the Third Proportional to 182,072 and 396,098

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Solution

The third proportional to 182,072 and 396,098 is: 861,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,072 : 396,098 = 396,098 : x
  2. Step 2: Convert to fraction form
    182,072/396,098 = 396,098/x
  3. Step 3: Cross multiply
    182,072x = 396,098 × 396,098
  4. Step 4: Simplify right side
    182,072x = 156,893,625,604
  5. Step 5: Solve for x
    x = 156,893,625,604/182,072
  6. Step 6: Final answer
    x = 861,711.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.