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Finding the Third Proportional to 126,235.13 and 276,224.63

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Solution

The third proportional to 126,235.13 and 276,224.63 is: 604,427.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,235.13 : 276,224.63 = 276,224.63 : x
  2. Step 2: Convert to fraction form
    126,235.13/276,224.63 = 276,224.63/x
  3. Step 3: Cross multiply
    126,235.13x = 276,224.63 × 276,224.63
  4. Step 4: Simplify right side
    126,235.13x = 76,300,043,456.39
  5. Step 5: Solve for x
    x = 76,300,043,456.39/126,235.13
  6. Step 6: Final answer
    x = 604,427.99

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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.