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Finding the Third Proportional to 166,542.75 and 253,958.63

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Solution

The third proportional to 166,542.75 and 253,958.63 is: 387,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,542.75 : 253,958.63 = 253,958.63 : x
  2. Step 2: Convert to fraction form
    166,542.75/253,958.63 = 253,958.63/x
  3. Step 3: Cross multiply
    166,542.75x = 253,958.63 × 253,958.63
  4. Step 4: Simplify right side
    166,542.75x = 64,494,983,211.89
  5. Step 5: Solve for x
    x = 64,494,983,211.89/166,542.75
  6. Step 6: Final answer
    x = 387,257.83

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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.