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Finding the Third Proportional to 206,794.69 and 319,361.06

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Solution

The third proportional to 206,794.69 and 319,361.06 is: 493,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,794.69 : 319,361.06 = 319,361.06 : x
  2. Step 2: Convert to fraction form
    206,794.69/319,361.06 = 319,361.06/x
  3. Step 3: Cross multiply
    206,794.69x = 319,361.06 × 319,361.06
  4. Step 4: Simplify right side
    206,794.69x = 101,991,488,241.13
  5. Step 5: Solve for x
    x = 101,991,488,241.13/206,794.69
  6. Step 6: Final answer
    x = 493,201.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.