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Finding the Third Proportional to 87,418 and 182,216

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Solution

The third proportional to 87,418 and 182,216 is: 379,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,418 : 182,216 = 182,216 : x
  2. Step 2: Convert to fraction form
    87,418/182,216 = 182,216/x
  3. Step 3: Cross multiply
    87,418x = 182,216 × 182,216
  4. Step 4: Simplify right side
    87,418x = 33,202,670,656
  5. Step 5: Solve for x
    x = 33,202,670,656/87,418
  6. Step 6: Final answer
    x = 379,815.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.