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Finding the Third Proportional to 200.67 and 271.05

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Solution

The third proportional to 200.67 and 271.05 is: 366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.67 : 271.05 = 271.05 : x
  2. Step 2: Convert to fraction form
    200.67/271.05 = 271.05/x
  3. Step 3: Cross multiply
    200.67x = 271.05 × 271.05
  4. Step 4: Simplify right side
    200.67x = 73,470.64
  5. Step 5: Solve for x
    x = 73,470.64/200.67
  6. Step 6: Final answer
    x = 366.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.