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Finding the Third Proportional to 205.38 and 497.44

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Solution

The third proportional to 205.38 and 497.44 is: 1,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 497.44 = 497.44 : x
  2. Step 2: Convert to fraction form
    205.38/497.44 = 497.44/x
  3. Step 3: Cross multiply
    205.38x = 497.44 × 497.44
  4. Step 4: Simplify right side
    205.38x = 247,444.07
  5. Step 5: Solve for x
    x = 247,444.07/205.38
  6. Step 6: Final answer
    x = 1,204.84

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.