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Finding the Third Proportional to 168,974 and 236,238

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Solution

The third proportional to 168,974 and 236,238 is: 330,277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,974 : 236,238 = 236,238 : x
  2. Step 2: Convert to fraction form
    168,974/236,238 = 236,238/x
  3. Step 3: Cross multiply
    168,974x = 236,238 × 236,238
  4. Step 4: Simplify right side
    168,974x = 55,808,392,644
  5. Step 5: Solve for x
    x = 55,808,392,644/168,974
  6. Step 6: Final answer
    x = 330,277.99

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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.