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Finding the Third Proportional to 126,264 and 276,279

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Solution

The third proportional to 126,264 and 276,279 is: 604,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,264 : 276,279 = 276,279 : x
  2. Step 2: Convert to fraction form
    126,264/276,279 = 276,279/x
  3. Step 3: Cross multiply
    126,264x = 276,279 × 276,279
  4. Step 4: Simplify right side
    126,264x = 76,330,085,841
  5. Step 5: Solve for x
    x = 76,330,085,841/126,264
  6. Step 6: Final answer
    x = 604,527.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.