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Finding the Third Proportional to 150,788 and 204,785

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Solution

The third proportional to 150,788 and 204,785 is: 278,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,788 : 204,785 = 204,785 : x
  2. Step 2: Convert to fraction form
    150,788/204,785 = 204,785/x
  3. Step 3: Cross multiply
    150,788x = 204,785 × 204,785
  4. Step 4: Simplify right side
    150,788x = 41,936,896,225
  5. Step 5: Solve for x
    x = 41,936,896,225/150,788
  6. Step 6: Final answer
    x = 278,118.26

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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.