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Finding the Third Proportional to 126,622 and 270,191

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Solution

The third proportional to 126,622 and 270,191 is: 576,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,622 : 270,191 = 270,191 : x
  2. Step 2: Convert to fraction form
    126,622/270,191 = 270,191/x
  3. Step 3: Cross multiply
    126,622x = 270,191 × 270,191
  4. Step 4: Simplify right side
    126,622x = 73,003,176,481
  5. Step 5: Solve for x
    x = 73,003,176,481/126,622
  6. Step 6: Final answer
    x = 576,544.17

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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.