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Finding the Third Proportional to 167,538 and 251,667

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Solution

The third proportional to 167,538 and 251,667 is: 378,041.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,538 : 251,667 = 251,667 : x
  2. Step 2: Convert to fraction form
    167,538/251,667 = 251,667/x
  3. Step 3: Cross multiply
    167,538x = 251,667 × 251,667
  4. Step 4: Simplify right side
    167,538x = 63,336,278,889
  5. Step 5: Solve for x
    x = 63,336,278,889/167,538
  6. Step 6: Final answer
    x = 378,041.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.