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Finding the Third Proportional to 116 and 200

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Solution

The third proportional to 116 and 200 is: 344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 200 = 200 : x
  2. Step 2: Convert to fraction form
    116/200 = 200/x
  3. Step 3: Cross multiply
    116x = 200 × 200
  4. Step 4: Simplify right side
    116x = 40,000
  5. Step 5: Solve for x
    x = 40,000/116
  6. Step 6: Final answer
    x = 344.83

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.