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Finding the Third Proportional to 180.25 and 440.50

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Solution

The third proportional to 180.25 and 440.50 is: 1,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.25 : 440.50 = 440.50 : x
  2. Step 2: Convert to fraction form
    180.25/440.50 = 440.50/x
  3. Step 3: Cross multiply
    180.25x = 440.50 × 440.50
  4. Step 4: Simplify right side
    180.25x = 194,040.25
  5. Step 5: Solve for x
    x = 194,040.25/180.25
  6. Step 6: Final answer
    x = 1,076.51

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.