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Finding the Third Proportional to 150,914 and 204,227

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Solution

The third proportional to 150,914 and 204,227 is: 276,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,914 : 204,227 = 204,227 : x
  2. Step 2: Convert to fraction form
    150,914/204,227 = 204,227/x
  3. Step 3: Cross multiply
    150,914x = 204,227 × 204,227
  4. Step 4: Simplify right side
    150,914x = 41,708,667,529
  5. Step 5: Solve for x
    x = 41,708,667,529/150,914
  6. Step 6: Final answer
    x = 276,373.75

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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.