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Finding the Third Proportional to 166,770 and 251,589

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Solution

The third proportional to 166,770 and 251,589 is: 379,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,770 : 251,589 = 251,589 : x
  2. Step 2: Convert to fraction form
    166,770/251,589 = 251,589/x
  3. Step 3: Cross multiply
    166,770x = 251,589 × 251,589
  4. Step 4: Simplify right side
    166,770x = 63,297,024,921
  5. Step 5: Solve for x
    x = 63,297,024,921/166,770
  6. Step 6: Final answer
    x = 379,546.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.