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Finding the Third Proportional to 194.89 and 263.41

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Solution

The third proportional to 194.89 and 263.41 is: 356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.89 : 263.41 = 263.41 : x
  2. Step 2: Convert to fraction form
    194.89/263.41 = 263.41/x
  3. Step 3: Cross multiply
    194.89x = 263.41 × 263.41
  4. Step 4: Simplify right side
    194.89x = 69,383.88
  5. Step 5: Solve for x
    x = 69,383.88/194.89
  6. Step 6: Final answer
    x = 356.02

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.