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Finding the Third Proportional to 227,566.97 and 327,803.20

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Solution

The third proportional to 227,566.97 and 327,803.20 is: 472,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,566.97 : 327,803.20 = 327,803.20 : x
  2. Step 2: Convert to fraction form
    227,566.97/327,803.20 = 327,803.20/x
  3. Step 3: Cross multiply
    227,566.97x = 327,803.20 × 327,803.20
  4. Step 4: Simplify right side
    227,566.97x = 107,454,939,979.01
  5. Step 5: Solve for x
    x = 107,454,939,979.01/227,566.97
  6. Step 6: Final answer
    x = 472,190.41

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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.