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Finding the Third Proportional to 180.94 and 415.22

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Solution

The third proportional to 180.94 and 415.22 is: 952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 415.22 = 415.22 : x
  2. Step 2: Convert to fraction form
    180.94/415.22 = 415.22/x
  3. Step 3: Cross multiply
    180.94x = 415.22 × 415.22
  4. Step 4: Simplify right side
    180.94x = 172,406.61
  5. Step 5: Solve for x
    x = 172,406.61/180.94
  6. Step 6: Final answer
    x = 952.85

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.