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Finding the Third Proportional to 168,967 and 236,226

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Solution

The third proportional to 168,967 and 236,226 is: 330,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,967 : 236,226 = 236,226 : x
  2. Step 2: Convert to fraction form
    168,967/236,226 = 236,226/x
  3. Step 3: Cross multiply
    168,967x = 236,226 × 236,226
  4. Step 4: Simplify right side
    168,967x = 55,802,723,076
  5. Step 5: Solve for x
    x = 55,802,723,076/168,967
  6. Step 6: Final answer
    x = 330,258.12

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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.