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Finding the Third Proportional to 80,473 and 173,217

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Solution

The third proportional to 80,473 and 173,217 is: 372,847.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,473 : 173,217 = 173,217 : x
  2. Step 2: Convert to fraction form
    80,473/173,217 = 173,217/x
  3. Step 3: Cross multiply
    80,473x = 173,217 × 173,217
  4. Step 4: Simplify right side
    80,473x = 30,004,129,089
  5. Step 5: Solve for x
    x = 30,004,129,089/80,473
  6. Step 6: Final answer
    x = 372,847.15

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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.