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Finding the Third Proportional to 126,451.13 and 270,888.05

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Solution

The third proportional to 126,451.13 and 270,888.05 is: 580,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,451.13 : 270,888.05 = 270,888.05 : x
  2. Step 2: Convert to fraction form
    126,451.13/270,888.05 = 270,888.05/x
  3. Step 3: Cross multiply
    126,451.13x = 270,888.05 × 270,888.05
  4. Step 4: Simplify right side
    126,451.13x = 73,380,333,939.75
  5. Step 5: Solve for x
    x = 73,380,333,939.75/126,451.13
  6. Step 6: Final answer
    x = 580,305.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.