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Finding the Third Proportional to 150,607.03 and 200,786.91

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Solution

The third proportional to 150,607.03 and 200,786.91 is: 267,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,607.03 : 200,786.91 = 200,786.91 : x
  2. Step 2: Convert to fraction form
    150,607.03/200,786.91 = 200,786.91/x
  3. Step 3: Cross multiply
    150,607.03x = 200,786.91 × 200,786.91
  4. Step 4: Simplify right side
    150,607.03x = 40,315,381,721.45
  5. Step 5: Solve for x
    x = 40,315,381,721.45/150,607.03
  6. Step 6: Final answer
    x = 267,685.92

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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.