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Finding the Third Proportional to 167,979 and 252,729

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Solution

The third proportional to 167,979 and 252,729 is: 380,237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,979 : 252,729 = 252,729 : x
  2. Step 2: Convert to fraction form
    167,979/252,729 = 252,729/x
  3. Step 3: Cross multiply
    167,979x = 252,729 × 252,729
  4. Step 4: Simplify right side
    167,979x = 63,871,947,441
  5. Step 5: Solve for x
    x = 63,871,947,441/167,979
  6. Step 6: Final answer
    x = 380,237.69

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