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Finding the Third Proportional to 158,628 and 231,974

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Solution

The third proportional to 158,628 and 231,974 is: 339,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,628 : 231,974 = 231,974 : x
  2. Step 2: Convert to fraction form
    158,628/231,974 = 231,974/x
  3. Step 3: Cross multiply
    158,628x = 231,974 × 231,974
  4. Step 4: Simplify right side
    158,628x = 53,811,936,676
  5. Step 5: Solve for x
    x = 53,811,936,676/158,628
  6. Step 6: Final answer
    x = 339,233.53

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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.