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Finding the Third Proportional to 298,249.13 and 451,715.25

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Solution

The third proportional to 298,249.13 and 451,715.25 is: 684,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,249.13 : 451,715.25 = 451,715.25 : x
  2. Step 2: Convert to fraction form
    298,249.13/451,715.25 = 451,715.25/x
  3. Step 3: Cross multiply
    298,249.13x = 451,715.25 × 451,715.25
  4. Step 4: Simplify right side
    298,249.13x = 204,046,667,082.56
  5. Step 5: Solve for x
    x = 204,046,667,082.56/298,249.13
  6. Step 6: Final answer
    x = 684,148.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.