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Finding the Third Proportional to 168,876 and 263,538

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Solution

The third proportional to 168,876 and 263,538 is: 411,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,876 : 263,538 = 263,538 : x
  2. Step 2: Convert to fraction form
    168,876/263,538 = 263,538/x
  3. Step 3: Cross multiply
    168,876x = 263,538 × 263,538
  4. Step 4: Simplify right side
    168,876x = 69,452,277,444
  5. Step 5: Solve for x
    x = 69,452,277,444/168,876
  6. Step 6: Final answer
    x = 411,261.98

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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.