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Finding the Third Proportional to 160,094 and 345,016

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Solution

The third proportional to 160,094 and 345,016 is: 743,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,094 : 345,016 = 345,016 : x
  2. Step 2: Convert to fraction form
    160,094/345,016 = 345,016/x
  3. Step 3: Cross multiply
    160,094x = 345,016 × 345,016
  4. Step 4: Simplify right side
    160,094x = 119,036,040,256
  5. Step 5: Solve for x
    x = 119,036,040,256/160,094
  6. Step 6: Final answer
    x = 743,538.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.