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Finding the Third Proportional to 179,138.25 and 270,723.38

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Solution

The third proportional to 179,138.25 and 270,723.38 is: 409,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,138.25 : 270,723.38 = 270,723.38 : x
  2. Step 2: Convert to fraction form
    179,138.25/270,723.38 = 270,723.38/x
  3. Step 3: Cross multiply
    179,138.25x = 270,723.38 × 270,723.38
  4. Step 4: Simplify right side
    179,138.25x = 73,291,145,771.39
  5. Step 5: Solve for x
    x = 73,291,145,771.39/179,138.25
  6. Step 6: Final answer
    x = 409,131.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.