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Finding the Third Proportional to 126,444.38 and 270,822.94

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Solution

The third proportional to 126,444.38 and 270,822.94 is: 580,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,444.38 : 270,822.94 = 270,822.94 : x
  2. Step 2: Convert to fraction form
    126,444.38/270,822.94 = 270,822.94/x
  3. Step 3: Cross multiply
    126,444.38x = 270,822.94 × 270,822.94
  4. Step 4: Simplify right side
    126,444.38x = 73,345,063,476.13
  5. Step 5: Solve for x
    x = 73,345,063,476.13/126,444.38
  6. Step 6: Final answer
    x = 580,057.94

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Why These Related Problems?

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