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Finding the Third Proportional to 82,134 and 180,306

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Solution

The third proportional to 82,134 and 180,306 is: 395,819.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,134 : 180,306 = 180,306 : x
  2. Step 2: Convert to fraction form
    82,134/180,306 = 180,306/x
  3. Step 3: Cross multiply
    82,134x = 180,306 × 180,306
  4. Step 4: Simplify right side
    82,134x = 32,510,253,636
  5. Step 5: Solve for x
    x = 32,510,253,636/82,134
  6. Step 6: Final answer
    x = 395,819.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.