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Finding the Third Proportional to 220,208 and 350,016

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Solution

The third proportional to 220,208 and 350,016 is: 556,343.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,208 : 350,016 = 350,016 : x
  2. Step 2: Convert to fraction form
    220,208/350,016 = 350,016/x
  3. Step 3: Cross multiply
    220,208x = 350,016 × 350,016
  4. Step 4: Simplify right side
    220,208x = 122,511,200,256
  5. Step 5: Solve for x
    x = 122,511,200,256/220,208
  6. Step 6: Final answer
    x = 556,343.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.