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Finding the Third Proportional to 188.44 and 408.94

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Solution

The third proportional to 188.44 and 408.94 is: 887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.44 : 408.94 = 408.94 : x
  2. Step 2: Convert to fraction form
    188.44/408.94 = 408.94/x
  3. Step 3: Cross multiply
    188.44x = 408.94 × 408.94
  4. Step 4: Simplify right side
    188.44x = 167,229.88
  5. Step 5: Solve for x
    x = 167,229.88/188.44
  6. Step 6: Final answer
    x = 887.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.