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Finding the Third Proportional to 126,847 and 270,582.50

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Solution

The third proportional to 126,847 and 270,582.50 is: 577,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,847 : 270,582.50 = 270,582.50 : x
  2. Step 2: Convert to fraction form
    126,847/270,582.50 = 270,582.50/x
  3. Step 3: Cross multiply
    126,847x = 270,582.50 × 270,582.50
  4. Step 4: Simplify right side
    126,847x = 73,214,889,306.25
  5. Step 5: Solve for x
    x = 73,214,889,306.25/126,847
  6. Step 6: Final answer
    x = 577,190.55

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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.