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Finding the Third Proportional to 82,484 and 176,630

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Solution

The third proportional to 82,484 and 176,630 is: 378,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,484 : 176,630 = 176,630 : x
  2. Step 2: Convert to fraction form
    82,484/176,630 = 176,630/x
  3. Step 3: Cross multiply
    82,484x = 176,630 × 176,630
  4. Step 4: Simplify right side
    82,484x = 31,198,156,900
  5. Step 5: Solve for x
    x = 31,198,156,900/82,484
  6. Step 6: Final answer
    x = 378,232.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.