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Finding the Third Proportional to 146 and 199.25

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Solution

The third proportional to 146 and 199.25 is: 271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146 : 199.25 = 199.25 : x
  2. Step 2: Convert to fraction form
    146/199.25 = 199.25/x
  3. Step 3: Cross multiply
    146x = 199.25 × 199.25
  4. Step 4: Simplify right side
    146x = 39,700.56
  5. Step 5: Solve for x
    x = 39,700.56/146
  6. Step 6: Final answer
    x = 271.92

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.