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Finding the Third Proportional to 179,951 and 393,801

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Solution

The third proportional to 179,951 and 393,801 is: 861,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,951 : 393,801 = 393,801 : x
  2. Step 2: Convert to fraction form
    179,951/393,801 = 393,801/x
  3. Step 3: Cross multiply
    179,951x = 393,801 × 393,801
  4. Step 4: Simplify right side
    179,951x = 155,079,227,601
  5. Step 5: Solve for x
    x = 155,079,227,601/179,951
  6. Step 6: Final answer
    x = 861,785.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.