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Finding the Third Proportional to 166,517.44 and 253,920.66

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Solution

The third proportional to 166,517.44 and 253,920.66 is: 387,200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,517.44 : 253,920.66 = 253,920.66 : x
  2. Step 2: Convert to fraction form
    166,517.44/253,920.66 = 253,920.66/x
  3. Step 3: Cross multiply
    166,517.44x = 253,920.66 × 253,920.66
  4. Step 4: Simplify right side
    166,517.44x = 64,475,699,670.43
  5. Step 5: Solve for x
    x = 64,475,699,670.43/166,517.44
  6. Step 6: Final answer
    x = 387,200.89

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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.