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Finding the Third Proportional to 159,542 and 345,500

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Solution

The third proportional to 159,542 and 345,500 is: 748,205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,542 : 345,500 = 345,500 : x
  2. Step 2: Convert to fraction form
    159,542/345,500 = 345,500/x
  3. Step 3: Cross multiply
    159,542x = 345,500 × 345,500
  4. Step 4: Simplify right side
    159,542x = 119,370,250,000
  5. Step 5: Solve for x
    x = 119,370,250,000/159,542
  6. Step 6: Final answer
    x = 748,205.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.