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Finding the Third Proportional to 110.25 and 182.81

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Solution

The third proportional to 110.25 and 182.81 is: 303.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 182.81 = 182.81 : x
  2. Step 2: Convert to fraction form
    110.25/182.81 = 182.81/x
  3. Step 3: Cross multiply
    110.25x = 182.81 × 182.81
  4. Step 4: Simplify right side
    110.25x = 33,420.41
  5. Step 5: Solve for x
    x = 33,420.41/110.25
  6. Step 6: Final answer
    x = 303.13

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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.