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Finding the Third Proportional to 179,197 and 270,182

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Solution

The third proportional to 179,197 and 270,182 is: 407,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,197 : 270,182 = 270,182 : x
  2. Step 2: Convert to fraction form
    179,197/270,182 = 270,182/x
  3. Step 3: Cross multiply
    179,197x = 270,182 × 270,182
  4. Step 4: Simplify right side
    179,197x = 72,998,313,124
  5. Step 5: Solve for x
    x = 72,998,313,124/179,197
  6. Step 6: Final answer
    x = 407,363.48

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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.