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Finding the Third Proportional to 126,841 and 273,304

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Solution

The third proportional to 126,841 and 273,304 is: 588,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,841 : 273,304 = 273,304 : x
  2. Step 2: Convert to fraction form
    126,841/273,304 = 273,304/x
  3. Step 3: Cross multiply
    126,841x = 273,304 × 273,304
  4. Step 4: Simplify right side
    126,841x = 74,695,076,416
  5. Step 5: Solve for x
    x = 74,695,076,416/126,841
  6. Step 6: Final answer
    x = 588,887.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.