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Finding the Third Proportional to 126,232.88 and 276,219.56

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Solution

The third proportional to 126,232.88 and 276,219.56 is: 604,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,232.88 : 276,219.56 = 276,219.56 : x
  2. Step 2: Convert to fraction form
    126,232.88/276,219.56 = 276,219.56/x
  3. Step 3: Cross multiply
    126,232.88x = 276,219.56 × 276,219.56
  4. Step 4: Simplify right side
    126,232.88x = 76,297,246,707.69
  5. Step 5: Solve for x
    x = 76,297,246,707.69/126,232.88
  6. Step 6: Final answer
    x = 604,416.61

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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.