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Finding the Third Proportional to 205.69 and 305.44

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Solution

The third proportional to 205.69 and 305.44 is: 453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.69 : 305.44 = 305.44 : x
  2. Step 2: Convert to fraction form
    205.69/305.44 = 305.44/x
  3. Step 3: Cross multiply
    205.69x = 305.44 × 305.44
  4. Step 4: Simplify right side
    205.69x = 93,292.07
  5. Step 5: Solve for x
    x = 93,292.07/205.69
  6. Step 6: Final answer
    x = 453.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.