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Finding the Third Proportional to 200,666 and 267,645

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Solution

The third proportional to 200,666 and 267,645 is: 356,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,666 : 267,645 = 267,645 : x
  2. Step 2: Convert to fraction form
    200,666/267,645 = 267,645/x
  3. Step 3: Cross multiply
    200,666x = 267,645 × 267,645
  4. Step 4: Simplify right side
    200,666x = 71,633,846,025
  5. Step 5: Solve for x
    x = 71,633,846,025/200,666
  6. Step 6: Final answer
    x = 356,980.49

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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.