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Finding the Third Proportional to 194.88 and 451.94

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Solution

The third proportional to 194.88 and 451.94 is: 1,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.88 : 451.94 = 451.94 : x
  2. Step 2: Convert to fraction form
    194.88/451.94 = 451.94/x
  3. Step 3: Cross multiply
    194.88x = 451.94 × 451.94
  4. Step 4: Simplify right side
    194.88x = 204,247.50
  5. Step 5: Solve for x
    x = 204,247.50/194.88
  6. Step 6: Final answer
    x = 1,048.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.