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Finding the Third Proportional to 126,866 and 276,334

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Solution

The third proportional to 126,866 and 276,334 is: 601,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,866 : 276,334 = 276,334 : x
  2. Step 2: Convert to fraction form
    126,866/276,334 = 276,334/x
  3. Step 3: Cross multiply
    126,866x = 276,334 × 276,334
  4. Step 4: Simplify right side
    126,866x = 76,360,479,556
  5. Step 5: Solve for x
    x = 76,360,479,556/126,866
  6. Step 6: Final answer
    x = 601,898.69

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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.