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Finding the Third Proportional to 185,992 and 278,266

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Solution

The third proportional to 185,992 and 278,266 is: 416,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,992 : 278,266 = 278,266 : x
  2. Step 2: Convert to fraction form
    185,992/278,266 = 278,266/x
  3. Step 3: Cross multiply
    185,992x = 278,266 × 278,266
  4. Step 4: Simplify right side
    185,992x = 77,431,966,756
  5. Step 5: Solve for x
    x = 77,431,966,756/185,992
  6. Step 6: Final answer
    x = 416,318.80

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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.