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Finding the Third Proportional to 126,266 and 277,438

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Solution

The third proportional to 126,266 and 277,438 is: 609,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,266 : 277,438 = 277,438 : x
  2. Step 2: Convert to fraction form
    126,266/277,438 = 277,438/x
  3. Step 3: Cross multiply
    126,266x = 277,438 × 277,438
  4. Step 4: Simplify right side
    126,266x = 76,971,843,844
  5. Step 5: Solve for x
    x = 76,971,843,844/126,266
  6. Step 6: Final answer
    x = 609,600.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.