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Finding the Third Proportional to 221.48 and 323.93

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Solution

The third proportional to 221.48 and 323.93 is: 473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.48 : 323.93 = 323.93 : x
  2. Step 2: Convert to fraction form
    221.48/323.93 = 323.93/x
  3. Step 3: Cross multiply
    221.48x = 323.93 × 323.93
  4. Step 4: Simplify right side
    221.48x = 104,930.44
  5. Step 5: Solve for x
    x = 104,930.44/221.48
  6. Step 6: Final answer
    x = 473.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.