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Finding the Third Proportional to 140,978 and 207,573

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Solution

The third proportional to 140,978 and 207,573 is: 305,626.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,978 : 207,573 = 207,573 : x
  2. Step 2: Convert to fraction form
    140,978/207,573 = 207,573/x
  3. Step 3: Cross multiply
    140,978x = 207,573 × 207,573
  4. Step 4: Simplify right side
    140,978x = 43,086,550,329
  5. Step 5: Solve for x
    x = 43,086,550,329/140,978
  6. Step 6: Final answer
    x = 305,626.06

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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.