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Finding the Third Proportional to 82.50 and 180.75

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Solution

The third proportional to 82.50 and 180.75 is: 396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 180.75 = 180.75 : x
  2. Step 2: Convert to fraction form
    82.50/180.75 = 180.75/x
  3. Step 3: Cross multiply
    82.50x = 180.75 × 180.75
  4. Step 4: Simplify right side
    82.50x = 32,670.56
  5. Step 5: Solve for x
    x = 32,670.56/82.50
  6. Step 6: Final answer
    x = 396.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.