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Finding the Third Proportional to 80,439 and 173,211

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Solution

The third proportional to 80,439 and 173,211 is: 372,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,439 : 173,211 = 173,211 : x
  2. Step 2: Convert to fraction form
    80,439/173,211 = 173,211/x
  3. Step 3: Cross multiply
    80,439x = 173,211 × 173,211
  4. Step 4: Simplify right side
    80,439x = 30,002,050,521
  5. Step 5: Solve for x
    x = 30,002,050,521/80,439
  6. Step 6: Final answer
    x = 372,978.91

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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.