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Finding the Third Proportional to 206,752.75 and 445,183.63

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Solution

The third proportional to 206,752.75 and 445,183.63 is: 958,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,752.75 : 445,183.63 = 445,183.63 : x
  2. Step 2: Convert to fraction form
    206,752.75/445,183.63 = 445,183.63/x
  3. Step 3: Cross multiply
    206,752.75x = 445,183.63 × 445,183.63
  4. Step 4: Simplify right side
    206,752.75x = 198,188,459,968.14
  5. Step 5: Solve for x
    x = 198,188,459,968.14/206,752.75
  6. Step 6: Final answer
    x = 958,577.14

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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.