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Finding the Third Proportional to 183.09 and 388.97

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Solution

The third proportional to 183.09 and 388.97 is: 826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.09 : 388.97 = 388.97 : x
  2. Step 2: Convert to fraction form
    183.09/388.97 = 388.97/x
  3. Step 3: Cross multiply
    183.09x = 388.97 × 388.97
  4. Step 4: Simplify right side
    183.09x = 151,296.69
  5. Step 5: Solve for x
    x = 151,296.69/183.09
  6. Step 6: Final answer
    x = 826.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.