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Finding the Third Proportional to 209.75 and 324.75

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Solution

The third proportional to 209.75 and 324.75 is: 502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.75 : 324.75 = 324.75 : x
  2. Step 2: Convert to fraction form
    209.75/324.75 = 324.75/x
  3. Step 3: Cross multiply
    209.75x = 324.75 × 324.75
  4. Step 4: Simplify right side
    209.75x = 105,462.56
  5. Step 5: Solve for x
    x = 105,462.56/209.75
  6. Step 6: Final answer
    x = 502.80

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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.