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Finding the Third Proportional to 126,864 and 276,330

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Solution

The third proportional to 126,864 and 276,330 is: 601,890.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,864 : 276,330 = 276,330 : x
  2. Step 2: Convert to fraction form
    126,864/276,330 = 276,330/x
  3. Step 3: Cross multiply
    126,864x = 276,330 × 276,330
  4. Step 4: Simplify right side
    126,864x = 76,358,268,900
  5. Step 5: Solve for x
    x = 76,358,268,900/126,864
  6. Step 6: Final answer
    x = 601,890.76

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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.