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Finding the Third Proportional to 82,382 and 179,866

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Solution

The third proportional to 82,382 and 179,866 is: 392,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,382 : 179,866 = 179,866 : x
  2. Step 2: Convert to fraction form
    82,382/179,866 = 179,866/x
  3. Step 3: Cross multiply
    82,382x = 179,866 × 179,866
  4. Step 4: Simplify right side
    82,382x = 32,351,777,956
  5. Step 5: Solve for x
    x = 32,351,777,956/82,382
  6. Step 6: Final answer
    x = 392,704.45

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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.