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Finding the Third Proportional to 191.62 and 295.09

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Solution

The third proportional to 191.62 and 295.09 is: 454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.62 : 295.09 = 295.09 : x
  2. Step 2: Convert to fraction form
    191.62/295.09 = 295.09/x
  3. Step 3: Cross multiply
    191.62x = 295.09 × 295.09
  4. Step 4: Simplify right side
    191.62x = 87,077.15
  5. Step 5: Solve for x
    x = 87,077.15/191.62
  6. Step 6: Final answer
    x = 454.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.