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Finding the Third Proportional to 126,946.50 and 276,034.50

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Solution

The third proportional to 126,946.50 and 276,034.50 is: 600,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,946.50 : 276,034.50 = 276,034.50 : x
  2. Step 2: Convert to fraction form
    126,946.50/276,034.50 = 276,034.50/x
  3. Step 3: Cross multiply
    126,946.50x = 276,034.50 × 276,034.50
  4. Step 4: Simplify right side
    126,946.50x = 76,195,045,190.25
  5. Step 5: Solve for x
    x = 76,195,045,190.25/126,946.50
  6. Step 6: Final answer
    x = 600,213.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.