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Finding the Third Proportional to 158,615 and 231,591

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Solution

The third proportional to 158,615 and 231,591 is: 338,141.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,615 : 231,591 = 231,591 : x
  2. Step 2: Convert to fraction form
    158,615/231,591 = 231,591/x
  3. Step 3: Cross multiply
    158,615x = 231,591 × 231,591
  4. Step 4: Simplify right side
    158,615x = 53,634,391,281
  5. Step 5: Solve for x
    x = 53,634,391,281/158,615
  6. Step 6: Final answer
    x = 338,141.99

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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.