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Finding the Third Proportional to 181,184 and 398,212

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Solution

The third proportional to 181,184 and 398,212 is: 875,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,184 : 398,212 = 398,212 : x
  2. Step 2: Convert to fraction form
    181,184/398,212 = 398,212/x
  3. Step 3: Cross multiply
    181,184x = 398,212 × 398,212
  4. Step 4: Simplify right side
    181,184x = 158,572,796,944
  5. Step 5: Solve for x
    x = 158,572,796,944/181,184
  6. Step 6: Final answer
    x = 875,203.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.