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Finding the Third Proportional to 140,151.75 and 218,976

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Solution

The third proportional to 140,151.75 and 218,976 is: 342,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,151.75 : 218,976 = 218,976 : x
  2. Step 2: Convert to fraction form
    140,151.75/218,976 = 218,976/x
  3. Step 3: Cross multiply
    140,151.75x = 218,976 × 218,976
  4. Step 4: Simplify right side
    140,151.75x = 47,950,488,576
  5. Step 5: Solve for x
    x = 47,950,488,576/140,151.75
  6. Step 6: Final answer
    x = 342,132.64

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.