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Finding the Third Proportional to 111,194 and 226,916

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Solution

The third proportional to 111,194 and 226,916 is: 463,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,194 : 226,916 = 226,916 : x
  2. Step 2: Convert to fraction form
    111,194/226,916 = 226,916/x
  3. Step 3: Cross multiply
    111,194x = 226,916 × 226,916
  4. Step 4: Simplify right side
    111,194x = 51,490,871,056
  5. Step 5: Solve for x
    x = 51,490,871,056/111,194
  6. Step 6: Final answer
    x = 463,072.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.