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Finding the Third Proportional to 110.94 and 233.91

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Solution

The third proportional to 110.94 and 233.91 is: 493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.94 : 233.91 = 233.91 : x
  2. Step 2: Convert to fraction form
    110.94/233.91 = 233.91/x
  3. Step 3: Cross multiply
    110.94x = 233.91 × 233.91
  4. Step 4: Simplify right side
    110.94x = 54,712.13
  5. Step 5: Solve for x
    x = 54,712.13/110.94
  6. Step 6: Final answer
    x = 493.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.