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Finding the Third Proportional to 166,461.75 and 253,842.75

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Solution

The third proportional to 166,461.75 and 253,842.75 is: 387,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,461.75 : 253,842.75 = 253,842.75 : x
  2. Step 2: Convert to fraction form
    166,461.75/253,842.75 = 253,842.75/x
  3. Step 3: Cross multiply
    166,461.75x = 253,842.75 × 253,842.75
  4. Step 4: Simplify right side
    166,461.75x = 64,436,141,727.56
  5. Step 5: Solve for x
    x = 64,436,141,727.56/166,461.75
  6. Step 6: Final answer
    x = 387,092.78

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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.