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Finding the Third Proportional to 201.56 and 327.66

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Solution

The third proportional to 201.56 and 327.66 is: 532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.56 : 327.66 = 327.66 : x
  2. Step 2: Convert to fraction form
    201.56/327.66 = 327.66/x
  3. Step 3: Cross multiply
    201.56x = 327.66 × 327.66
  4. Step 4: Simplify right side
    201.56x = 107,358.62
  5. Step 5: Solve for x
    x = 107,358.62/201.56
  6. Step 6: Final answer
    x = 532.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.