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Finding the Third Proportional to 114 and 200

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Solution

The third proportional to 114 and 200 is: 350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114 : 200 = 200 : x
  2. Step 2: Convert to fraction form
    114/200 = 200/x
  3. Step 3: Cross multiply
    114x = 200 × 200
  4. Step 4: Simplify right side
    114x = 40,000
  5. Step 5: Solve for x
    x = 40,000/114
  6. Step 6: Final answer
    x = 350.88

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.