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Finding the Third Proportional to 227 and 324

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Solution

The third proportional to 227 and 324 is: 462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227 : 324 = 324 : x
  2. Step 2: Convert to fraction form
    227/324 = 324/x
  3. Step 3: Cross multiply
    227x = 324 × 324
  4. Step 4: Simplify right side
    227x = 104,976
  5. Step 5: Solve for x
    x = 104,976/227
  6. Step 6: Final answer
    x = 462.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.