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Finding the Third Proportional to 201.97 and 437.94

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Solution

The third proportional to 201.97 and 437.94 is: 949.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.97 : 437.94 = 437.94 : x
  2. Step 2: Convert to fraction form
    201.97/437.94 = 437.94/x
  3. Step 3: Cross multiply
    201.97x = 437.94 × 437.94
  4. Step 4: Simplify right side
    201.97x = 191,789.25
  5. Step 5: Solve for x
    x = 191,789.25/201.97
  6. Step 6: Final answer
    x = 949.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.