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Finding the Third Proportional to 140.75 and 227.75

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Solution

The third proportional to 140.75 and 227.75 is: 368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.75 : 227.75 = 227.75 : x
  2. Step 2: Convert to fraction form
    140.75/227.75 = 227.75/x
  3. Step 3: Cross multiply
    140.75x = 227.75 × 227.75
  4. Step 4: Simplify right side
    140.75x = 51,870.06
  5. Step 5: Solve for x
    x = 51,870.06/140.75
  6. Step 6: Final answer
    x = 368.53

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.