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Finding the Third Proportional to 209.63 and 323.63

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Solution

The third proportional to 209.63 and 323.63 is: 499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.63 : 323.63 = 323.63 : x
  2. Step 2: Convert to fraction form
    209.63/323.63 = 323.63/x
  3. Step 3: Cross multiply
    209.63x = 323.63 × 323.63
  4. Step 4: Simplify right side
    209.63x = 104,733.14
  5. Step 5: Solve for x
    x = 104,733.14/209.63
  6. Step 6: Final answer
    x = 499.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.