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Finding the Third Proportional to 158,591.25 and 231,933.38

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Solution

The third proportional to 158,591.25 and 231,933.38 is: 339,193.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,591.25 : 231,933.38 = 231,933.38 : x
  2. Step 2: Convert to fraction form
    158,591.25/231,933.38 = 231,933.38/x
  3. Step 3: Cross multiply
    158,591.25x = 231,933.38 × 231,933.38
  4. Step 4: Simplify right side
    158,591.25x = 53,793,090,438.89
  5. Step 5: Solve for x
    x = 53,793,090,438.89/158,591.25
  6. Step 6: Final answer
    x = 339,193.31

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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.