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Finding the Third Proportional to 146.25 and 195.75

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Solution

The third proportional to 146.25 and 195.75 is: 262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.25 : 195.75 = 195.75 : x
  2. Step 2: Convert to fraction form
    146.25/195.75 = 195.75/x
  3. Step 3: Cross multiply
    146.25x = 195.75 × 195.75
  4. Step 4: Simplify right side
    146.25x = 38,318.06
  5. Step 5: Solve for x
    x = 38,318.06/146.25
  6. Step 6: Final answer
    x = 262.00

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.