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Finding the Third Proportional to 126,843 and 273,306

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Solution

The third proportional to 126,843 and 273,306 is: 588,886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,843 : 273,306 = 273,306 : x
  2. Step 2: Convert to fraction form
    126,843/273,306 = 273,306/x
  3. Step 3: Cross multiply
    126,843x = 273,306 × 273,306
  4. Step 4: Simplify right side
    126,843x = 74,696,169,636
  5. Step 5: Solve for x
    x = 74,696,169,636/126,843
  6. Step 6: Final answer
    x = 588,886.81

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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.