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Finding the Third Proportional to 126,198 and 269,906

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Solution

The third proportional to 126,198 and 269,906 is: 577,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,198 : 269,906 = 269,906 : x
  2. Step 2: Convert to fraction form
    126,198/269,906 = 269,906/x
  3. Step 3: Cross multiply
    126,198x = 269,906 × 269,906
  4. Step 4: Simplify right side
    126,198x = 72,849,248,836
  5. Step 5: Solve for x
    x = 72,849,248,836/126,198
  6. Step 6: Final answer
    x = 577,261.52

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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.