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Finding the Third Proportional to 229,340.94 and 518,138.75

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Solution

The third proportional to 229,340.94 and 518,138.75 is: 1,170,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,340.94 : 518,138.75 = 518,138.75 : x
  2. Step 2: Convert to fraction form
    229,340.94/518,138.75 = 518,138.75/x
  3. Step 3: Cross multiply
    229,340.94x = 518,138.75 × 518,138.75
  4. Step 4: Simplify right side
    229,340.94x = 268,467,764,251.56
  5. Step 5: Solve for x
    x = 268,467,764,251.56/229,340.94
  6. Step 6: Final answer
    x = 1,170,605.51

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.