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Finding the Third Proportional to 165 and 248.75

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Solution

The third proportional to 165 and 248.75 is: 375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165 : 248.75 = 248.75 : x
  2. Step 2: Convert to fraction form
    165/248.75 = 248.75/x
  3. Step 3: Cross multiply
    165x = 248.75 × 248.75
  4. Step 4: Simplify right side
    165x = 61,876.56
  5. Step 5: Solve for x
    x = 61,876.56/165
  6. Step 6: Final answer
    x = 375.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.