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Finding the Third Proportional to 126,284.06 and 270,079.31

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Solution

The third proportional to 126,284.06 and 270,079.31 is: 577,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,284.06 : 270,079.31 = 270,079.31 : x
  2. Step 2: Convert to fraction form
    126,284.06/270,079.31 = 270,079.31/x
  3. Step 3: Cross multiply
    126,284.06x = 270,079.31 × 270,079.31
  4. Step 4: Simplify right side
    126,284.06x = 72,942,835,040.47
  5. Step 5: Solve for x
    x = 72,942,835,040.47/126,284.06
  6. Step 6: Final answer
    x = 577,609.19

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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.