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Finding the Third Proportional to 158,591 and 231,932

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Solution

The third proportional to 158,591 and 231,932 is: 339,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,591 : 231,932 = 231,932 : x
  2. Step 2: Convert to fraction form
    158,591/231,932 = 231,932/x
  3. Step 3: Cross multiply
    158,591x = 231,932 × 231,932
  4. Step 4: Simplify right side
    158,591x = 53,792,452,624
  5. Step 5: Solve for x
    x = 53,792,452,624/158,591
  6. Step 6: Final answer
    x = 339,189.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.