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Finding the Third Proportional to 168,965 and 236,224

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Solution

The third proportional to 168,965 and 236,224 is: 330,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,965 : 236,224 = 236,224 : x
  2. Step 2: Convert to fraction form
    168,965/236,224 = 236,224/x
  3. Step 3: Cross multiply
    168,965x = 236,224 × 236,224
  4. Step 4: Simplify right side
    168,965x = 55,801,778,176
  5. Step 5: Solve for x
    x = 55,801,778,176/168,965
  6. Step 6: Final answer
    x = 330,256.43

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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.