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Finding the Third Proportional to 168,877 and 263,540

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Solution

The third proportional to 168,877 and 263,540 is: 411,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,877 : 263,540 = 263,540 : x
  2. Step 2: Convert to fraction form
    168,877/263,540 = 263,540/x
  3. Step 3: Cross multiply
    168,877x = 263,540 × 263,540
  4. Step 4: Simplify right side
    168,877x = 69,453,331,600
  5. Step 5: Solve for x
    x = 69,453,331,600/168,877
  6. Step 6: Final answer
    x = 411,265.78

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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.