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Finding the Third Proportional to 258.66 and 388.23

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Solution

The third proportional to 258.66 and 388.23 is: 582.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.66 : 388.23 = 388.23 : x
  2. Step 2: Convert to fraction form
    258.66/388.23 = 388.23/x
  3. Step 3: Cross multiply
    258.66x = 388.23 × 388.23
  4. Step 4: Simplify right side
    258.66x = 150,722.90
  5. Step 5: Solve for x
    x = 150,722.90/258.66
  6. Step 6: Final answer
    x = 582.70

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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.