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Finding the Third Proportional to 168,831 and 267,340.50

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Solution

The third proportional to 168,831 and 267,340.50 is: 423,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,831 : 267,340.50 = 267,340.50 : x
  2. Step 2: Convert to fraction form
    168,831/267,340.50 = 267,340.50/x
  3. Step 3: Cross multiply
    168,831x = 267,340.50 × 267,340.50
  4. Step 4: Simplify right side
    168,831x = 71,470,942,940.25
  5. Step 5: Solve for x
    x = 71,470,942,940.25/168,831
  6. Step 6: Final answer
    x = 423,328.32

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.