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Finding the Third Proportional to 150,391.13 and 200,692.69

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Solution

The third proportional to 150,391.13 and 200,692.69 is: 267,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,391.13 : 200,692.69 = 200,692.69 : x
  2. Step 2: Convert to fraction form
    150,391.13/200,692.69 = 200,692.69/x
  3. Step 3: Cross multiply
    150,391.13x = 200,692.69 × 200,692.69
  4. Step 4: Simplify right side
    150,391.13x = 40,277,554,815.97
  5. Step 5: Solve for x
    x = 40,277,554,815.97/150,391.13
  6. Step 6: Final answer
    x = 267,818.69

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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.