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Finding the Third Proportional to 205.88 and 329.19

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Solution

The third proportional to 205.88 and 329.19 is: 526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 329.19 = 329.19 : x
  2. Step 2: Convert to fraction form
    205.88/329.19 = 329.19/x
  3. Step 3: Cross multiply
    205.88x = 329.19 × 329.19
  4. Step 4: Simplify right side
    205.88x = 108,364.41
  5. Step 5: Solve for x
    x = 108,364.41/205.88
  6. Step 6: Final answer
    x = 526.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.