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Finding the Third Proportional to 150,756 and 204,742

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Solution

The third proportional to 150,756 and 204,742 is: 278,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,756 : 204,742 = 204,742 : x
  2. Step 2: Convert to fraction form
    150,756/204,742 = 204,742/x
  3. Step 3: Cross multiply
    150,756x = 204,742 × 204,742
  4. Step 4: Simplify right side
    150,756x = 41,919,286,564
  5. Step 5: Solve for x
    x = 41,919,286,564/150,756
  6. Step 6: Final answer
    x = 278,060.49

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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.