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Finding the Third Proportional to 182,997.98 and 396,541.83

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Solution

The third proportional to 182,997.98 and 396,541.83 is: 859,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,997.98 : 396,541.83 = 396,541.83 : x
  2. Step 2: Convert to fraction form
    182,997.98/396,541.83 = 396,541.83/x
  3. Step 3: Cross multiply
    182,997.98x = 396,541.83 × 396,541.83
  4. Step 4: Simplify right side
    182,997.98x = 157,245,421,452.72
  5. Step 5: Solve for x
    x = 157,245,421,452.72/182,997.98
  6. Step 6: Final answer
    x = 859,274.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.