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Finding the Third Proportional to 161,444 and 330,016

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Solution

The third proportional to 161,444 and 330,016 is: 674,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,444 : 330,016 = 330,016 : x
  2. Step 2: Convert to fraction form
    161,444/330,016 = 330,016/x
  3. Step 3: Cross multiply
    161,444x = 330,016 × 330,016
  4. Step 4: Simplify right side
    161,444x = 108,910,560,256
  5. Step 5: Solve for x
    x = 108,910,560,256/161,444
  6. Step 6: Final answer
    x = 674,602.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.