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Finding the Third Proportional to 107.89 and 182.36

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Solution

The third proportional to 107.89 and 182.36 is: 308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.89 : 182.36 = 182.36 : x
  2. Step 2: Convert to fraction form
    107.89/182.36 = 182.36/x
  3. Step 3: Cross multiply
    107.89x = 182.36 × 182.36
  4. Step 4: Simplify right side
    107.89x = 33,253.52
  5. Step 5: Solve for x
    x = 33,253.52/107.89
  6. Step 6: Final answer
    x = 308.20

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.