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Finding the Third Proportional to 126,229 and 276,600.50

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Solution

The third proportional to 126,229 and 276,600.50 is: 606,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,229 : 276,600.50 = 276,600.50 : x
  2. Step 2: Convert to fraction form
    126,229/276,600.50 = 276,600.50/x
  3. Step 3: Cross multiply
    126,229x = 276,600.50 × 276,600.50
  4. Step 4: Simplify right side
    126,229x = 76,507,836,600.25
  5. Step 5: Solve for x
    x = 76,507,836,600.25/126,229
  6. Step 6: Final answer
    x = 606,103.48

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