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Finding the Third Proportional to 180.21 and 367.95

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Solution

The third proportional to 180.21 and 367.95 is: 751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.21 : 367.95 = 367.95 : x
  2. Step 2: Convert to fraction form
    180.21/367.95 = 367.95/x
  3. Step 3: Cross multiply
    180.21x = 367.95 × 367.95
  4. Step 4: Simplify right side
    180.21x = 135,383.75
  5. Step 5: Solve for x
    x = 135,383.75/180.21
  6. Step 6: Final answer
    x = 751.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.