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Finding the Third Proportional to 126,880.17 and 270,219.80

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Solution

The third proportional to 126,880.17 and 270,219.80 is: 575,493.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,880.17 : 270,219.80 = 270,219.80 : x
  2. Step 2: Convert to fraction form
    126,880.17/270,219.80 = 270,219.80/x
  3. Step 3: Cross multiply
    126,880.17x = 270,219.80 × 270,219.80
  4. Step 4: Simplify right side
    126,880.17x = 73,018,738,623.17
  5. Step 5: Solve for x
    x = 73,018,738,623.17/126,880.17
  6. Step 6: Final answer
    x = 575,493.69

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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.