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Finding the Third Proportional to 168,980 and 236,247

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Solution

The third proportional to 168,980 and 236,247 is: 330,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,980 : 236,247 = 236,247 : x
  2. Step 2: Convert to fraction form
    168,980/236,247 = 236,247/x
  3. Step 3: Cross multiply
    168,980x = 236,247 × 236,247
  4. Step 4: Simplify right side
    168,980x = 55,812,645,009
  5. Step 5: Solve for x
    x = 55,812,645,009/168,980
  6. Step 6: Final answer
    x = 330,291.43

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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.