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Finding the Third Proportional to 185.75 and 352

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Solution

The third proportional to 185.75 and 352 is: 667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.75 : 352 = 352 : x
  2. Step 2: Convert to fraction form
    185.75/352 = 352/x
  3. Step 3: Cross multiply
    185.75x = 352 × 352
  4. Step 4: Simplify right side
    185.75x = 123,904
  5. Step 5: Solve for x
    x = 123,904/185.75
  6. Step 6: Final answer
    x = 667.05

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.