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Finding the Third Proportional to 120,190 and 278,234

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Solution

The third proportional to 120,190 and 278,234 is: 644,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,190 : 278,234 = 278,234 : x
  2. Step 2: Convert to fraction form
    120,190/278,234 = 278,234/x
  3. Step 3: Cross multiply
    120,190x = 278,234 × 278,234
  4. Step 4: Simplify right side
    120,190x = 77,414,158,756
  5. Step 5: Solve for x
    x = 77,414,158,756/120,190
  6. Step 6: Final answer
    x = 644,098.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.