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Finding the Third Proportional to 110.81 and 193.03

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Solution

The third proportional to 110.81 and 193.03 is: 336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.81 : 193.03 = 193.03 : x
  2. Step 2: Convert to fraction form
    110.81/193.03 = 193.03/x
  3. Step 3: Cross multiply
    110.81x = 193.03 × 193.03
  4. Step 4: Simplify right side
    110.81x = 37,261.06
  5. Step 5: Solve for x
    x = 37,261.06/110.81
  6. Step 6: Final answer
    x = 336.25

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.