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Finding the Third Proportional to 179,856 and 393,975

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Solution

The third proportional to 179,856 and 393,975 is: 863,003.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,856 : 393,975 = 393,975 : x
  2. Step 2: Convert to fraction form
    179,856/393,975 = 393,975/x
  3. Step 3: Cross multiply
    179,856x = 393,975 × 393,975
  4. Step 4: Simplify right side
    179,856x = 155,216,300,625
  5. Step 5: Solve for x
    x = 155,216,300,625/179,856
  6. Step 6: Final answer
    x = 863,003.18

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