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Finding the Third Proportional to 110.53 and 184.03

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Solution

The third proportional to 110.53 and 184.03 is: 306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.53 : 184.03 = 184.03 : x
  2. Step 2: Convert to fraction form
    110.53/184.03 = 184.03/x
  3. Step 3: Cross multiply
    110.53x = 184.03 × 184.03
  4. Step 4: Simplify right side
    110.53x = 33,867.50
  5. Step 5: Solve for x
    x = 33,867.50/110.53
  6. Step 6: Final answer
    x = 306.41

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.