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Finding the Third Proportional to 150,508 and 204,998.75

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Solution

The third proportional to 150,508 and 204,998.75 is: 279,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,508 : 204,998.75 = 204,998.75 : x
  2. Step 2: Convert to fraction form
    150,508/204,998.75 = 204,998.75/x
  3. Step 3: Cross multiply
    150,508x = 204,998.75 × 204,998.75
  4. Step 4: Simplify right side
    150,508x = 42,024,487,501.56
  5. Step 5: Solve for x
    x = 42,024,487,501.56/150,508
  6. Step 6: Final answer
    x = 279,217.63

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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.