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Finding the Third Proportional to 168,957 and 236,212

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Solution

The third proportional to 168,957 and 236,212 is: 330,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,957 : 236,212 = 236,212 : x
  2. Step 2: Convert to fraction form
    168,957/236,212 = 236,212/x
  3. Step 3: Cross multiply
    168,957x = 236,212 × 236,212
  4. Step 4: Simplify right side
    168,957x = 55,796,108,944
  5. Step 5: Solve for x
    x = 55,796,108,944/168,957
  6. Step 6: Final answer
    x = 330,238.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.