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Finding the Third Proportional to 194.69 and 300.84

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Solution

The third proportional to 194.69 and 300.84 is: 464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.69 : 300.84 = 300.84 : x
  2. Step 2: Convert to fraction form
    194.69/300.84 = 300.84/x
  3. Step 3: Cross multiply
    194.69x = 300.84 × 300.84
  4. Step 4: Simplify right side
    194.69x = 90,506.96
  5. Step 5: Solve for x
    x = 90,506.96/194.69
  6. Step 6: Final answer
    x = 464.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.