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Finding the Third Proportional to 194.62 and 422.88

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Solution

The third proportional to 194.62 and 422.88 is: 918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.62 : 422.88 = 422.88 : x
  2. Step 2: Convert to fraction form
    194.62/422.88 = 422.88/x
  3. Step 3: Cross multiply
    194.62x = 422.88 × 422.88
  4. Step 4: Simplify right side
    194.62x = 178,824.92
  5. Step 5: Solve for x
    x = 178,824.92/194.62
  6. Step 6: Final answer
    x = 918.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.