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Finding the Third Proportional to 126,884 and 276,364

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Solution

The third proportional to 126,884 and 276,364 is: 601,943.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,884 : 276,364 = 276,364 : x
  2. Step 2: Convert to fraction form
    126,884/276,364 = 276,364/x
  3. Step 3: Cross multiply
    126,884x = 276,364 × 276,364
  4. Step 4: Simplify right side
    126,884x = 76,377,060,496
  5. Step 5: Solve for x
    x = 76,377,060,496/126,884
  6. Step 6: Final answer
    x = 601,943.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.