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Finding the Third Proportional to 168,879 and 263,543

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Solution

The third proportional to 168,879 and 263,543 is: 411,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,879 : 263,543 = 263,543 : x
  2. Step 2: Convert to fraction form
    168,879/263,543 = 263,543/x
  3. Step 3: Cross multiply
    168,879x = 263,543 × 263,543
  4. Step 4: Simplify right side
    168,879x = 69,454,912,849
  5. Step 5: Solve for x
    x = 69,454,912,849/168,879
  6. Step 6: Final answer
    x = 411,270.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.