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Finding the Third Proportional to 227,224.50 and 336,443.25

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Solution

The third proportional to 227,224.50 and 336,443.25 is: 498,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,224.50 : 336,443.25 = 336,443.25 : x
  2. Step 2: Convert to fraction form
    227,224.50/336,443.25 = 336,443.25/x
  3. Step 3: Cross multiply
    227,224.50x = 336,443.25 × 336,443.25
  4. Step 4: Simplify right side
    227,224.50x = 113,194,060,470.56
  5. Step 5: Solve for x
    x = 113,194,060,470.56/227,224.50
  6. Step 6: Final answer
    x = 498,159.58

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.