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Finding the Third Proportional to 80,280 and 171,630

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Solution

The third proportional to 80,280 and 171,630 is: 366,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,280 : 171,630 = 171,630 : x
  2. Step 2: Convert to fraction form
    80,280/171,630 = 171,630/x
  3. Step 3: Cross multiply
    80,280x = 171,630 × 171,630
  4. Step 4: Simplify right side
    80,280x = 29,456,856,900
  5. Step 5: Solve for x
    x = 29,456,856,900/80,280
  6. Step 6: Final answer
    x = 366,926.47

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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.