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Finding the Third Proportional to 77.75 and 180.50

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Solution

The third proportional to 77.75 and 180.50 is: 419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.75 : 180.50 = 180.50 : x
  2. Step 2: Convert to fraction form
    77.75/180.50 = 180.50/x
  3. Step 3: Cross multiply
    77.75x = 180.50 × 180.50
  4. Step 4: Simplify right side
    77.75x = 32,580.25
  5. Step 5: Solve for x
    x = 32,580.25/77.75
  6. Step 6: Final answer
    x = 419.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.