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Finding the Third Proportional to 227,336 and 331,009

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Solution

The third proportional to 227,336 and 331,009 is: 481,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,336 : 331,009 = 331,009 : x
  2. Step 2: Convert to fraction form
    227,336/331,009 = 331,009/x
  3. Step 3: Cross multiply
    227,336x = 331,009 × 331,009
  4. Step 4: Simplify right side
    227,336x = 109,566,958,081
  5. Step 5: Solve for x
    x = 109,566,958,081/227,336
  6. Step 6: Final answer
    x = 481,960.44

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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.