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Finding the Third Proportional to 82,228 and 179,675

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Solution

The third proportional to 82,228 and 179,675 is: 392,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,228 : 179,675 = 179,675 : x
  2. Step 2: Convert to fraction form
    82,228/179,675 = 179,675/x
  3. Step 3: Cross multiply
    82,228x = 179,675 × 179,675
  4. Step 4: Simplify right side
    82,228x = 32,283,105,625
  5. Step 5: Solve for x
    x = 32,283,105,625/82,228
  6. Step 6: Final answer
    x = 392,604.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.