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Finding the Third Proportional to 205.88 and 282.66

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Solution

The third proportional to 205.88 and 282.66 is: 388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 282.66 = 282.66 : x
  2. Step 2: Convert to fraction form
    205.88/282.66 = 282.66/x
  3. Step 3: Cross multiply
    205.88x = 282.66 × 282.66
  4. Step 4: Simplify right side
    205.88x = 79,894.56
  5. Step 5: Solve for x
    x = 79,894.56/205.88
  6. Step 6: Final answer
    x = 388.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.