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Finding the Third Proportional to 159,709 and 239,568

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Solution

The third proportional to 159,709 and 239,568 is: 359,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,709 : 239,568 = 239,568 : x
  2. Step 2: Convert to fraction form
    159,709/239,568 = 239,568/x
  3. Step 3: Cross multiply
    159,709x = 239,568 × 239,568
  4. Step 4: Simplify right side
    159,709x = 57,392,826,624
  5. Step 5: Solve for x
    x = 57,392,826,624/159,709
  6. Step 6: Final answer
    x = 359,358.75

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Why These Related Problems?

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