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Finding the Third Proportional to 126,457.88 and 270,853.88

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Solution

The third proportional to 126,457.88 and 270,853.88 is: 580,128.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,457.88 : 270,853.88 = 270,853.88 : x
  2. Step 2: Convert to fraction form
    126,457.88/270,853.88 = 270,853.88/x
  3. Step 3: Cross multiply
    126,457.88x = 270,853.88 × 270,853.88
  4. Step 4: Simplify right side
    126,457.88x = 73,361,821,602.52
  5. Step 5: Solve for x
    x = 73,361,821,602.52/126,457.88
  6. Step 6: Final answer
    x = 580,128.53

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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.