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Finding the Third Proportional to 259.03 and 388.97

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Solution

The third proportional to 259.03 and 388.97 is: 584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.03 : 388.97 = 388.97 : x
  2. Step 2: Convert to fraction form
    259.03/388.97 = 388.97/x
  3. Step 3: Cross multiply
    259.03x = 388.97 × 388.97
  4. Step 4: Simplify right side
    259.03x = 151,296.69
  5. Step 5: Solve for x
    x = 151,296.69/259.03
  6. Step 6: Final answer
    x = 584.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.