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Finding the Third Proportional to 159,200 and 350,044

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Solution

The third proportional to 159,200 and 350,044 is: 769,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,200 : 350,044 = 350,044 : x
  2. Step 2: Convert to fraction form
    159,200/350,044 = 350,044/x
  3. Step 3: Cross multiply
    159,200x = 350,044 × 350,044
  4. Step 4: Simplify right side
    159,200x = 122,530,801,936
  5. Step 5: Solve for x
    x = 122,530,801,936/159,200
  6. Step 6: Final answer
    x = 769,665.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.