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Finding the Third Proportional to 208.35 and 324.16

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Solution

The third proportional to 208.35 and 324.16 is: 504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.35 : 324.16 = 324.16 : x
  2. Step 2: Convert to fraction form
    208.35/324.16 = 324.16/x
  3. Step 3: Cross multiply
    208.35x = 324.16 × 324.16
  4. Step 4: Simplify right side
    208.35x = 105,078.54
  5. Step 5: Solve for x
    x = 105,078.54/208.35
  6. Step 6: Final answer
    x = 504.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.