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Finding the Third Proportional to 227,003.63 and 318,138.75

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Solution

The third proportional to 227,003.63 and 318,138.75 is: 445,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,003.63 : 318,138.75 = 318,138.75 : x
  2. Step 2: Convert to fraction form
    227,003.63/318,138.75 = 318,138.75/x
  3. Step 3: Cross multiply
    227,003.63x = 318,138.75 × 318,138.75
  4. Step 4: Simplify right side
    227,003.63x = 101,212,264,251.56
  5. Step 5: Solve for x
    x = 101,212,264,251.56/227,003.63
  6. Step 6: Final answer
    x = 445,861.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.