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Finding the Third Proportional to 200.44 and 367.97

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Solution

The third proportional to 200.44 and 367.97 is: 675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.44 : 367.97 = 367.97 : x
  2. Step 2: Convert to fraction form
    200.44/367.97 = 367.97/x
  3. Step 3: Cross multiply
    200.44x = 367.97 × 367.97
  4. Step 4: Simplify right side
    200.44x = 135,401.00
  5. Step 5: Solve for x
    x = 135,401.00/200.44
  6. Step 6: Final answer
    x = 675.53

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.