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Finding the Third Proportional to 159,524 and 350,494

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Solution

The third proportional to 159,524 and 350,494 is: 770,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,524 : 350,494 = 350,494 : x
  2. Step 2: Convert to fraction form
    159,524/350,494 = 350,494/x
  3. Step 3: Cross multiply
    159,524x = 350,494 × 350,494
  4. Step 4: Simplify right side
    159,524x = 122,846,044,036
  5. Step 5: Solve for x
    x = 122,846,044,036/159,524
  6. Step 6: Final answer
    x = 770,078.76

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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.