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Finding the Third Proportional to 156,542 and 223,053

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Solution

The third proportional to 156,542 and 223,053 is: 317,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,542 : 223,053 = 223,053 : x
  2. Step 2: Convert to fraction form
    156,542/223,053 = 223,053/x
  3. Step 3: Cross multiply
    156,542x = 223,053 × 223,053
  4. Step 4: Simplify right side
    156,542x = 49,752,640,809
  5. Step 5: Solve for x
    x = 49,752,640,809/156,542
  6. Step 6: Final answer
    x = 317,822.95

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.