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Finding the Third Proportional to 227,581.50 and 327,823.50

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Solution

The third proportional to 227,581.50 and 327,823.50 is: 472,218.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,581.50 : 327,823.50 = 327,823.50 : x
  2. Step 2: Convert to fraction form
    227,581.50/327,823.50 = 327,823.50/x
  3. Step 3: Cross multiply
    227,581.50x = 327,823.50 × 327,823.50
  4. Step 4: Simplify right side
    227,581.50x = 107,468,247,152.25
  5. Step 5: Solve for x
    x = 107,468,247,152.25/227,581.50
  6. Step 6: Final answer
    x = 472,218.73

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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.