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Finding the Third Proportional to 150,760 and 204,748

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Solution

The third proportional to 150,760 and 204,748 is: 278,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,760 : 204,748 = 204,748 : x
  2. Step 2: Convert to fraction form
    150,760/204,748 = 204,748/x
  3. Step 3: Cross multiply
    150,760x = 204,748 × 204,748
  4. Step 4: Simplify right side
    150,760x = 41,921,743,504
  5. Step 5: Solve for x
    x = 41,921,743,504/150,760
  6. Step 6: Final answer
    x = 278,069.41

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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.