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Finding the Third Proportional to 159,959.25 and 239,694.75

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Solution

The third proportional to 159,959.25 and 239,694.75 is: 359,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,959.25 : 239,694.75 = 239,694.75 : x
  2. Step 2: Convert to fraction form
    159,959.25/239,694.75 = 239,694.75/x
  3. Step 3: Cross multiply
    159,959.25x = 239,694.75 × 239,694.75
  4. Step 4: Simplify right side
    159,959.25x = 57,453,573,177.56
  5. Step 5: Solve for x
    x = 57,453,573,177.56/159,959.25
  6. Step 6: Final answer
    x = 359,176.31

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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.