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Finding the Third Proportional to 133,350.75 and 202,619.25

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Solution

The third proportional to 133,350.75 and 202,619.25 is: 307,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,350.75 : 202,619.25 = 202,619.25 : x
  2. Step 2: Convert to fraction form
    133,350.75/202,619.25 = 202,619.25/x
  3. Step 3: Cross multiply
    133,350.75x = 202,619.25 × 202,619.25
  4. Step 4: Simplify right side
    133,350.75x = 41,054,560,470.56
  5. Step 5: Solve for x
    x = 41,054,560,470.56/133,350.75
  6. Step 6: Final answer
    x = 307,868.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.