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Finding the Third Proportional to 185,972 and 278,238

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Solution

The third proportional to 185,972 and 278,238 is: 416,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,972 : 278,238 = 278,238 : x
  2. Step 2: Convert to fraction form
    185,972/278,238 = 278,238/x
  3. Step 3: Cross multiply
    185,972x = 278,238 × 278,238
  4. Step 4: Simplify right side
    185,972x = 77,416,384,644
  5. Step 5: Solve for x
    x = 77,416,384,644/185,972
  6. Step 6: Final answer
    x = 416,279.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.