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Finding the Third Proportional to 227,337.75 and 378,879.75

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Solution

The third proportional to 227,337.75 and 378,879.75 is: 631,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,337.75 : 378,879.75 = 378,879.75 : x
  2. Step 2: Convert to fraction form
    227,337.75/378,879.75 = 378,879.75/x
  3. Step 3: Cross multiply
    227,337.75x = 378,879.75 × 378,879.75
  4. Step 4: Simplify right side
    227,337.75x = 143,549,864,960.06
  5. Step 5: Solve for x
    x = 143,549,864,960.06/227,337.75
  6. Step 6: Final answer
    x = 631,438.75

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