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Finding the Third Proportional to 185,974 and 278,241

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Solution

The third proportional to 185,974 and 278,241 is: 416,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,974 : 278,241 = 278,241 : x
  2. Step 2: Convert to fraction form
    185,974/278,241 = 278,241/x
  3. Step 3: Cross multiply
    185,974x = 278,241 × 278,241
  4. Step 4: Simplify right side
    185,974x = 77,418,054,081
  5. Step 5: Solve for x
    x = 77,418,054,081/185,974
  6. Step 6: Final answer
    x = 416,284.29

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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.