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Finding the Third Proportional to 128,249.75 and 278,404

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Solution

The third proportional to 128,249.75 and 278,404 is: 604,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,249.75 : 278,404 = 278,404 : x
  2. Step 2: Convert to fraction form
    128,249.75/278,404 = 278,404/x
  3. Step 3: Cross multiply
    128,249.75x = 278,404 × 278,404
  4. Step 4: Simplify right side
    128,249.75x = 77,508,787,216
  5. Step 5: Solve for x
    x = 77,508,787,216/128,249.75
  6. Step 6: Final answer
    x = 604,358.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.