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Finding the Third Proportional to 200,664 and 267,642

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Solution

The third proportional to 200,664 and 267,642 is: 356,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,664 : 267,642 = 267,642 : x
  2. Step 2: Convert to fraction form
    200,664/267,642 = 267,642/x
  3. Step 3: Cross multiply
    200,664x = 267,642 × 267,642
  4. Step 4: Simplify right side
    200,664x = 71,632,240,164
  5. Step 5: Solve for x
    x = 71,632,240,164/200,664
  6. Step 6: Final answer
    x = 356,976.04

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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.