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Finding the Third Proportional to 150,786 and 204,782

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Solution

The third proportional to 150,786 and 204,782 is: 278,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,786 : 204,782 = 204,782 : x
  2. Step 2: Convert to fraction form
    150,786/204,782 = 204,782/x
  3. Step 3: Cross multiply
    150,786x = 204,782 × 204,782
  4. Step 4: Simplify right side
    150,786x = 41,935,667,524
  5. Step 5: Solve for x
    x = 41,935,667,524/150,786
  6. Step 6: Final answer
    x = 278,113.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.