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Finding the Third Proportional to 156,542 and 209,718

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Solution

The third proportional to 156,542 and 209,718 is: 280,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,542 : 209,718 = 209,718 : x
  2. Step 2: Convert to fraction form
    156,542/209,718 = 209,718/x
  3. Step 3: Cross multiply
    156,542x = 209,718 × 209,718
  4. Step 4: Simplify right side
    156,542x = 43,981,639,524
  5. Step 5: Solve for x
    x = 43,981,639,524/156,542
  6. Step 6: Final answer
    x = 280,957.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.