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Finding the Third Proportional to 200 and 274.75

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Solution

The third proportional to 200 and 274.75 is: 377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200 : 274.75 = 274.75 : x
  2. Step 2: Convert to fraction form
    200/274.75 = 274.75/x
  3. Step 3: Cross multiply
    200x = 274.75 × 274.75
  4. Step 4: Simplify right side
    200x = 75,487.56
  5. Step 5: Solve for x
    x = 75,487.56/200
  6. Step 6: Final answer
    x = 377.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.