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Finding the Third Proportional to 206,844 and 303,695

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Solution

The third proportional to 206,844 and 303,695 is: 445,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,844 : 303,695 = 303,695 : x
  2. Step 2: Convert to fraction form
    206,844/303,695 = 303,695/x
  3. Step 3: Cross multiply
    206,844x = 303,695 × 303,695
  4. Step 4: Simplify right side
    206,844x = 92,230,653,025
  5. Step 5: Solve for x
    x = 92,230,653,025/206,844
  6. Step 6: Final answer
    x = 445,894.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.