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Finding the Third Proportional to 159,723 and 239,589

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Solution

The third proportional to 159,723 and 239,589 is: 359,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,723 : 239,589 = 239,589 : x
  2. Step 2: Convert to fraction form
    159,723/239,589 = 239,589/x
  3. Step 3: Cross multiply
    159,723x = 239,589 × 239,589
  4. Step 4: Simplify right side
    159,723x = 57,402,888,921
  5. Step 5: Solve for x
    x = 57,402,888,921/159,723
  6. Step 6: Final answer
    x = 359,390.25

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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.