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Finding the Third Proportional to 166,292 and 253,589

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Solution

The third proportional to 166,292 and 253,589 is: 386,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,292 : 253,589 = 253,589 : x
  2. Step 2: Convert to fraction form
    166,292/253,589 = 253,589/x
  3. Step 3: Cross multiply
    166,292x = 253,589 × 253,589
  4. Step 4: Simplify right side
    166,292x = 64,307,380,921
  5. Step 5: Solve for x
    x = 64,307,380,921/166,292
  6. Step 6: Final answer
    x = 386,713.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.