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Finding the Third Proportional to 158,587 and 231,926

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Solution

The third proportional to 158,587 and 231,926 is: 339,180.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,587 : 231,926 = 231,926 : x
  2. Step 2: Convert to fraction form
    158,587/231,926 = 231,926/x
  3. Step 3: Cross multiply
    158,587x = 231,926 × 231,926
  4. Step 4: Simplify right side
    158,587x = 53,789,669,476
  5. Step 5: Solve for x
    x = 53,789,669,476/158,587
  6. Step 6: Final answer
    x = 339,180.82

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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.