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Finding the Third Proportional to 159,612 and 342,744

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Solution

The third proportional to 159,612 and 342,744 is: 735,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,612 : 342,744 = 342,744 : x
  2. Step 2: Convert to fraction form
    159,612/342,744 = 342,744/x
  3. Step 3: Cross multiply
    159,612x = 342,744 × 342,744
  4. Step 4: Simplify right side
    159,612x = 117,473,449,536
  5. Step 5: Solve for x
    x = 117,473,449,536/159,612
  6. Step 6: Final answer
    x = 735,993.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.