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Finding the Third Proportional to 127,398 and 276,916

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Solution

The third proportional to 127,398 and 276,916 is: 601,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,398 : 276,916 = 276,916 : x
  2. Step 2: Convert to fraction form
    127,398/276,916 = 276,916/x
  3. Step 3: Cross multiply
    127,398x = 276,916 × 276,916
  4. Step 4: Simplify right side
    127,398x = 76,682,471,056
  5. Step 5: Solve for x
    x = 76,682,471,056/127,398
  6. Step 6: Final answer
    x = 601,912.68

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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.