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Finding the Third Proportional to 150,919 and 204,234

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Solution

The third proportional to 150,919 and 204,234 is: 276,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,919 : 204,234 = 204,234 : x
  2. Step 2: Convert to fraction form
    150,919/204,234 = 204,234/x
  3. Step 3: Cross multiply
    150,919x = 204,234 × 204,234
  4. Step 4: Simplify right side
    150,919x = 41,711,526,756
  5. Step 5: Solve for x
    x = 41,711,526,756/150,919
  6. Step 6: Final answer
    x = 276,383.54

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.