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Finding the Third Proportional to 167,002.13 and 251,930.72

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Solution

The third proportional to 167,002.13 and 251,930.72 is: 380,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,002.13 : 251,930.72 = 251,930.72 : x
  2. Step 2: Convert to fraction form
    167,002.13/251,930.72 = 251,930.72/x
  3. Step 3: Cross multiply
    167,002.13x = 251,930.72 × 251,930.72
  4. Step 4: Simplify right side
    167,002.13x = 63,469,087,049.89
  5. Step 5: Solve for x
    x = 63,469,087,049.89/167,002.13
  6. Step 6: Final answer
    x = 380,049.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.