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Finding the Third Proportional to 80,523 and 187,218

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Solution

The third proportional to 80,523 and 187,218 is: 435,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,523 : 187,218 = 187,218 : x
  2. Step 2: Convert to fraction form
    80,523/187,218 = 187,218/x
  3. Step 3: Cross multiply
    80,523x = 187,218 × 187,218
  4. Step 4: Simplify right side
    80,523x = 35,050,579,524
  5. Step 5: Solve for x
    x = 35,050,579,524/80,523
  6. Step 6: Final answer
    x = 435,286.56

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.