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Finding the Third Proportional to 200 and 284.75

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Solution

The third proportional to 200 and 284.75 is: 405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200 : 284.75 = 284.75 : x
  2. Step 2: Convert to fraction form
    200/284.75 = 284.75/x
  3. Step 3: Cross multiply
    200x = 284.75 × 284.75
  4. Step 4: Simplify right side
    200x = 81,082.56
  5. Step 5: Solve for x
    x = 81,082.56/200
  6. Step 6: Final answer
    x = 405.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.