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Finding the Third Proportional to 150,596 and 200,767

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Solution

The third proportional to 150,596 and 200,767 is: 267,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,596 : 200,767 = 200,767 : x
  2. Step 2: Convert to fraction form
    150,596/200,767 = 200,767/x
  3. Step 3: Cross multiply
    150,596x = 200,767 × 200,767
  4. Step 4: Simplify right side
    150,596x = 40,307,388,289
  5. Step 5: Solve for x
    x = 40,307,388,289/150,596
  6. Step 6: Final answer
    x = 267,652.45

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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.