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Finding the Third Proportional to 227,367.56 and 378,923.34

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Solution

The third proportional to 227,367.56 and 378,923.34 is: 631,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,367.56 : 378,923.34 = 378,923.34 : x
  2. Step 2: Convert to fraction form
    227,367.56/378,923.34 = 378,923.34/x
  3. Step 3: Cross multiply
    227,367.56x = 378,923.34 × 378,923.34
  4. Step 4: Simplify right side
    227,367.56x = 143,582,900,438.68
  5. Step 5: Solve for x
    x = 143,582,900,438.68/227,367.56
  6. Step 6: Final answer
    x = 631,501.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.