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Finding the Third Proportional to 179,974.41 and 393,847.31

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Solution

The third proportional to 179,974.41 and 393,847.31 is: 861,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,974.41 : 393,847.31 = 393,847.31 : x
  2. Step 2: Convert to fraction form
    179,974.41/393,847.31 = 393,847.31/x
  3. Step 3: Cross multiply
    179,974.41x = 393,847.31 × 393,847.31
  4. Step 4: Simplify right side
    179,974.41x = 155,115,705,563.47
  5. Step 5: Solve for x
    x = 155,115,705,563.47/179,974.41
  6. Step 6: Final answer
    x = 861,876.47

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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.