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Finding the Third Proportional to 150,593 and 200,763

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Solution

The third proportional to 150,593 and 200,763 is: 267,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,593 : 200,763 = 200,763 : x
  2. Step 2: Convert to fraction form
    150,593/200,763 = 200,763/x
  3. Step 3: Cross multiply
    150,593x = 200,763 × 200,763
  4. Step 4: Simplify right side
    150,593x = 40,305,782,169
  5. Step 5: Solve for x
    x = 40,305,782,169/150,593
  6. Step 6: Final answer
    x = 267,647.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.