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Finding the Third Proportional to 251,976.75 and 363,060.75

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Solution

The third proportional to 251,976.75 and 363,060.75 is: 523,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,976.75 : 363,060.75 = 363,060.75 : x
  2. Step 2: Convert to fraction form
    251,976.75/363,060.75 = 363,060.75/x
  3. Step 3: Cross multiply
    251,976.75x = 363,060.75 × 363,060.75
  4. Step 4: Simplify right side
    251,976.75x = 131,813,108,190.56
  5. Step 5: Solve for x
    x = 131,813,108,190.56/251,976.75
  6. Step 6: Final answer
    x = 523,116.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.