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Finding the Third Proportional to 194.59 and 295.21

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Solution

The third proportional to 194.59 and 295.21 is: 447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.59 : 295.21 = 295.21 : x
  2. Step 2: Convert to fraction form
    194.59/295.21 = 295.21/x
  3. Step 3: Cross multiply
    194.59x = 295.21 × 295.21
  4. Step 4: Simplify right side
    194.59x = 87,147.19
  5. Step 5: Solve for x
    x = 87,147.19/194.59
  6. Step 6: Final answer
    x = 447.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.