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Finding the Third Proportional to 138,768.75 and 303,216.75

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Solution

The third proportional to 138,768.75 and 303,216.75 is: 662,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,768.75 : 303,216.75 = 303,216.75 : x
  2. Step 2: Convert to fraction form
    138,768.75/303,216.75 = 303,216.75/x
  3. Step 3: Cross multiply
    138,768.75x = 303,216.75 × 303,216.75
  4. Step 4: Simplify right side
    138,768.75x = 91,940,397,480.56
  5. Step 5: Solve for x
    x = 91,940,397,480.56/138,768.75
  6. Step 6: Final answer
    x = 662,543.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.