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Finding the Third Proportional to 200,812 and 267,719

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Solution

The third proportional to 200,812 and 267,719 is: 356,918.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,812 : 267,719 = 267,719 : x
  2. Step 2: Convert to fraction form
    200,812/267,719 = 267,719/x
  3. Step 3: Cross multiply
    200,812x = 267,719 × 267,719
  4. Step 4: Simplify right side
    200,812x = 71,673,462,961
  5. Step 5: Solve for x
    x = 71,673,462,961/200,812
  6. Step 6: Final answer
    x = 356,918.23

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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.