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Finding the Third Proportional to 268,082 and 325,876

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Solution

The third proportional to 268,082 and 325,876 is: 396,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,082 : 325,876 = 325,876 : x
  2. Step 2: Convert to fraction form
    268,082/325,876 = 325,876/x
  3. Step 3: Cross multiply
    268,082x = 325,876 × 325,876
  4. Step 4: Simplify right side
    268,082x = 106,195,167,376
  5. Step 5: Solve for x
    x = 106,195,167,376/268,082
  6. Step 6: Final answer
    x = 396,129.42

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.