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Finding the Third Proportional to 133.84 and 200.22

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Solution

The third proportional to 133.84 and 200.22 is: 299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.84 : 200.22 = 200.22 : x
  2. Step 2: Convert to fraction form
    133.84/200.22 = 200.22/x
  3. Step 3: Cross multiply
    133.84x = 200.22 × 200.22
  4. Step 4: Simplify right side
    133.84x = 40,087.55
  5. Step 5: Solve for x
    x = 40,087.55/133.84
  6. Step 6: Final answer
    x = 299.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.