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Finding the Third Proportional to 82,180 and 176,812

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Solution

The third proportional to 82,180 and 176,812 is: 380,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,180 : 176,812 = 176,812 : x
  2. Step 2: Convert to fraction form
    82,180/176,812 = 176,812/x
  3. Step 3: Cross multiply
    82,180x = 176,812 × 176,812
  4. Step 4: Simplify right side
    82,180x = 31,262,483,344
  5. Step 5: Solve for x
    x = 31,262,483,344/82,180
  6. Step 6: Final answer
    x = 380,414.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.