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Finding the Third Proportional to 168,953 and 236,206

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Solution

The third proportional to 168,953 and 236,206 is: 330,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,953 : 236,206 = 236,206 : x
  2. Step 2: Convert to fraction form
    168,953/236,206 = 236,206/x
  3. Step 3: Cross multiply
    168,953x = 236,206 × 236,206
  4. Step 4: Simplify right side
    168,953x = 55,793,274,436
  5. Step 5: Solve for x
    x = 55,793,274,436/168,953
  6. Step 6: Final answer
    x = 330,229.56

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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.