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Finding the Third Proportional to 80,237 and 173,866

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Solution

The third proportional to 80,237 and 173,866 is: 376,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,237 : 173,866 = 173,866 : x
  2. Step 2: Convert to fraction form
    80,237/173,866 = 173,866/x
  3. Step 3: Cross multiply
    80,237x = 173,866 × 173,866
  4. Step 4: Simplify right side
    80,237x = 30,229,385,956
  5. Step 5: Solve for x
    x = 30,229,385,956/80,237
  6. Step 6: Final answer
    x = 376,751.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.