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Finding the Third Proportional to 180 and 376.75

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Solution

The third proportional to 180 and 376.75 is: 788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180 : 376.75 = 376.75 : x
  2. Step 2: Convert to fraction form
    180/376.75 = 376.75/x
  3. Step 3: Cross multiply
    180x = 376.75 × 376.75
  4. Step 4: Simplify right side
    180x = 141,940.56
  5. Step 5: Solve for x
    x = 141,940.56/180
  6. Step 6: Final answer
    x = 788.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.