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Finding the Third Proportional to 227,584.69 and 327,822.19

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Solution

The third proportional to 227,584.69 and 327,822.19 is: 472,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,584.69 : 327,822.19 = 327,822.19 : x
  2. Step 2: Convert to fraction form
    227,584.69/327,822.19 = 327,822.19/x
  3. Step 3: Cross multiply
    227,584.69x = 327,822.19 × 327,822.19
  4. Step 4: Simplify right side
    227,584.69x = 107,467,386,617.29
  5. Step 5: Solve for x
    x = 107,467,386,617.29/227,584.69
  6. Step 6: Final answer
    x = 472,208.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.