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Finding the Third Proportional to 206,736.52 and 445,141.83

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Solution

The third proportional to 206,736.52 and 445,141.83 is: 958,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,736.52 : 445,141.83 = 445,141.83 : x
  2. Step 2: Convert to fraction form
    206,736.52/445,141.83 = 445,141.83/x
  3. Step 3: Cross multiply
    206,736.52x = 445,141.83 × 445,141.83
  4. Step 4: Simplify right side
    206,736.52x = 198,151,247,146.47
  5. Step 5: Solve for x
    x = 198,151,247,146.47/206,736.52
  6. Step 6: Final answer
    x = 958,472.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.