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Finding the Third Proportional to 194.44 and 298.22

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Solution

The third proportional to 194.44 and 298.22 is: 457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.44 : 298.22 = 298.22 : x
  2. Step 2: Convert to fraction form
    194.44/298.22 = 298.22/x
  3. Step 3: Cross multiply
    194.44x = 298.22 × 298.22
  4. Step 4: Simplify right side
    194.44x = 88,934.42
  5. Step 5: Solve for x
    x = 88,934.42/194.44
  6. Step 6: Final answer
    x = 457.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.