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Finding the Third Proportional to 205.69 and 328.97

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Solution

The third proportional to 205.69 and 328.97 is: 526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.69 : 328.97 = 328.97 : x
  2. Step 2: Convert to fraction form
    205.69/328.97 = 328.97/x
  3. Step 3: Cross multiply
    205.69x = 328.97 × 328.97
  4. Step 4: Simplify right side
    205.69x = 108,220.44
  5. Step 5: Solve for x
    x = 108,220.44/205.69
  6. Step 6: Final answer
    x = 526.14

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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.