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Finding the Third Proportional to 193,872 and 261,876

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Solution

The third proportional to 193,872 and 261,876 is: 353,733.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,872 : 261,876 = 261,876 : x
  2. Step 2: Convert to fraction form
    193,872/261,876 = 261,876/x
  3. Step 3: Cross multiply
    193,872x = 261,876 × 261,876
  4. Step 4: Simplify right side
    193,872x = 68,579,039,376
  5. Step 5: Solve for x
    x = 68,579,039,376/193,872
  6. Step 6: Final answer
    x = 353,733.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.