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Finding the Third Proportional to 126,471.38 and 276,230.25

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Solution

The third proportional to 126,471.38 and 276,230.25 is: 603,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,471.38 : 276,230.25 = 276,230.25 : x
  2. Step 2: Convert to fraction form
    126,471.38/276,230.25 = 276,230.25/x
  3. Step 3: Cross multiply
    126,471.38x = 276,230.25 × 276,230.25
  4. Step 4: Simplify right side
    126,471.38x = 76,303,151,015.06
  5. Step 5: Solve for x
    x = 76,303,151,015.06/126,471.38
  6. Step 6: Final answer
    x = 603,323.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.