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Finding the Third Proportional to 205.69 and 302.44

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Solution

The third proportional to 205.69 and 302.44 is: 444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.69 : 302.44 = 302.44 : x
  2. Step 2: Convert to fraction form
    205.69/302.44 = 302.44/x
  3. Step 3: Cross multiply
    205.69x = 302.44 × 302.44
  4. Step 4: Simplify right side
    205.69x = 91,468.44
  5. Step 5: Solve for x
    x = 91,468.44/205.69
  6. Step 6: Final answer
    x = 444.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.