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Finding the Third Proportional to 158,589 and 231,929.25

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Solution

The third proportional to 158,589 and 231,929.25 is: 339,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,589 : 231,929.25 = 231,929.25 : x
  2. Step 2: Convert to fraction form
    158,589/231,929.25 = 231,929.25/x
  3. Step 3: Cross multiply
    158,589x = 231,929.25 × 231,929.25
  4. Step 4: Simplify right side
    158,589x = 53,791,177,005.56
  5. Step 5: Solve for x
    x = 53,791,177,005.56/158,589
  6. Step 6: Final answer
    x = 339,186.05

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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.