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Finding the Third Proportional to 133.75 and 205.38

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Solution

The third proportional to 133.75 and 205.38 is: 315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.75 : 205.38 = 205.38 : x
  2. Step 2: Convert to fraction form
    133.75/205.38 = 205.38/x
  3. Step 3: Cross multiply
    133.75x = 205.38 × 205.38
  4. Step 4: Simplify right side
    133.75x = 42,178.89
  5. Step 5: Solve for x
    x = 42,178.89/133.75
  6. Step 6: Final answer
    x = 315.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.