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Finding the Third Proportional to 109 and 200

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Solution

The third proportional to 109 and 200 is: 366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 200 = 200 : x
  2. Step 2: Convert to fraction form
    109/200 = 200/x
  3. Step 3: Cross multiply
    109x = 200 × 200
  4. Step 4: Simplify right side
    109x = 40,000
  5. Step 5: Solve for x
    x = 40,000/109
  6. Step 6: Final answer
    x = 366.97

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.