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Finding the Third Proportional to 251 and 382.75

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Solution

The third proportional to 251 and 382.75 is: 583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251 : 382.75 = 382.75 : x
  2. Step 2: Convert to fraction form
    251/382.75 = 382.75/x
  3. Step 3: Cross multiply
    251x = 382.75 × 382.75
  4. Step 4: Simplify right side
    251x = 146,497.56
  5. Step 5: Solve for x
    x = 146,497.56/251
  6. Step 6: Final answer
    x = 583.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.