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Finding the Third Proportional to 200,786 and 267,679

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Solution

The third proportional to 200,786 and 267,679 is: 356,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,786 : 267,679 = 267,679 : x
  2. Step 2: Convert to fraction form
    200,786/267,679 = 267,679/x
  3. Step 3: Cross multiply
    200,786x = 267,679 × 267,679
  4. Step 4: Simplify right side
    200,786x = 71,652,047,041
  5. Step 5: Solve for x
    x = 71,652,047,041/200,786
  6. Step 6: Final answer
    x = 356,857.78

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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.