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Finding the Third Proportional to 201 and 271.31

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Solution

The third proportional to 201 and 271.31 is: 366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201 : 271.31 = 271.31 : x
  2. Step 2: Convert to fraction form
    201/271.31 = 271.31/x
  3. Step 3: Cross multiply
    201x = 271.31 × 271.31
  4. Step 4: Simplify right side
    201x = 73,610.47
  5. Step 5: Solve for x
    x = 73,610.47/201
  6. Step 6: Final answer
    x = 366.22

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