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Finding the Third Proportional to 179,568.93 and 267,796.44

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Solution

The third proportional to 179,568.93 and 267,796.44 is: 399,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,568.93 : 267,796.44 = 267,796.44 : x
  2. Step 2: Convert to fraction form
    179,568.93/267,796.44 = 267,796.44/x
  3. Step 3: Cross multiply
    179,568.93x = 267,796.44 × 267,796.44
  4. Step 4: Simplify right side
    179,568.93x = 71,714,934,029.85
  5. Step 5: Solve for x
    x = 71,714,934,029.85/179,568.93
  6. Step 6: Final answer
    x = 399,372.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.