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Finding the Third Proportional to 185.25 and 288

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Solution

The third proportional to 185.25 and 288 is: 447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.25 : 288 = 288 : x
  2. Step 2: Convert to fraction form
    185.25/288 = 288/x
  3. Step 3: Cross multiply
    185.25x = 288 × 288
  4. Step 4: Simplify right side
    185.25x = 82,944
  5. Step 5: Solve for x
    x = 82,944/185.25
  6. Step 6: Final answer
    x = 447.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.