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Finding the Third Proportional to 205.88 and 435.38

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Solution

The third proportional to 205.88 and 435.38 is: 920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 435.38 = 435.38 : x
  2. Step 2: Convert to fraction form
    205.88/435.38 = 435.38/x
  3. Step 3: Cross multiply
    205.88x = 435.38 × 435.38
  4. Step 4: Simplify right side
    205.88x = 189,551.39
  5. Step 5: Solve for x
    x = 189,551.39/205.88
  6. Step 6: Final answer
    x = 920.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.