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Finding the Third Proportional to 193,876 and 261,880

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Solution

The third proportional to 193,876 and 261,880 is: 353,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,876 : 261,880 = 261,880 : x
  2. Step 2: Convert to fraction form
    193,876/261,880 = 261,880/x
  3. Step 3: Cross multiply
    193,876x = 261,880 × 261,880
  4. Step 4: Simplify right side
    193,876x = 68,581,134,400
  5. Step 5: Solve for x
    x = 68,581,134,400/193,876
  6. Step 6: Final answer
    x = 353,737.10

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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.