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Finding the Third Proportional to 201.66 and 374.20

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Solution

The third proportional to 201.66 and 374.20 is: 694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.66 : 374.20 = 374.20 : x
  2. Step 2: Convert to fraction form
    201.66/374.20 = 374.20/x
  3. Step 3: Cross multiply
    201.66x = 374.20 × 374.20
  4. Step 4: Simplify right side
    201.66x = 140,027.98
  5. Step 5: Solve for x
    x = 140,027.98/201.66
  6. Step 6: Final answer
    x = 694.39

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.