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Finding the Third Proportional to 161,400 and 350,016

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Solution

The third proportional to 161,400 and 350,016 is: 759,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,400 : 350,016 = 350,016 : x
  2. Step 2: Convert to fraction form
    161,400/350,016 = 350,016/x
  3. Step 3: Cross multiply
    161,400x = 350,016 × 350,016
  4. Step 4: Simplify right side
    161,400x = 122,511,200,256
  5. Step 5: Solve for x
    x = 122,511,200,256/161,400
  6. Step 6: Final answer
    x = 759,053.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.