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Finding the Third Proportional to 126,901.69 and 270,928.55

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Solution

The third proportional to 126,901.69 and 270,928.55 is: 578,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,901.69 : 270,928.55 = 270,928.55 : x
  2. Step 2: Convert to fraction form
    126,901.69/270,928.55 = 270,928.55/x
  3. Step 3: Cross multiply
    126,901.69x = 270,928.55 × 270,928.55
  4. Step 4: Simplify right side
    126,901.69x = 73,402,277,511.80
  5. Step 5: Solve for x
    x = 73,402,277,511.80/126,901.69
  6. Step 6: Final answer
    x = 578,418.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.