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Finding the Third Proportional to 160,722 and 350,016

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Solution

The third proportional to 160,722 and 350,016 is: 762,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,722 : 350,016 = 350,016 : x
  2. Step 2: Convert to fraction form
    160,722/350,016 = 350,016/x
  3. Step 3: Cross multiply
    160,722x = 350,016 × 350,016
  4. Step 4: Simplify right side
    160,722x = 122,511,200,256
  5. Step 5: Solve for x
    x = 122,511,200,256/160,722
  6. Step 6: Final answer
    x = 762,255.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.