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Finding the Third Proportional to 159,459.75 and 239,910.75

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Solution

The third proportional to 159,459.75 and 239,910.75 is: 360,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,459.75 : 239,910.75 = 239,910.75 : x
  2. Step 2: Convert to fraction form
    159,459.75/239,910.75 = 239,910.75/x
  3. Step 3: Cross multiply
    159,459.75x = 239,910.75 × 239,910.75
  4. Step 4: Simplify right side
    159,459.75x = 57,557,167,965.56
  5. Step 5: Solve for x
    x = 57,557,167,965.56/159,459.75
  6. Step 6: Final answer
    x = 360,951.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.