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Finding the Third Proportional to 208.69 and 324.41

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Solution

The third proportional to 208.69 and 324.41 is: 504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.69 : 324.41 = 324.41 : x
  2. Step 2: Convert to fraction form
    208.69/324.41 = 324.41/x
  3. Step 3: Cross multiply
    208.69x = 324.41 × 324.41
  4. Step 4: Simplify right side
    208.69x = 105,241.95
  5. Step 5: Solve for x
    x = 105,241.95/208.69
  6. Step 6: Final answer
    x = 504.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.