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Finding the Third Proportional to 111,391 and 231,961

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Solution

The third proportional to 111,391 and 231,961 is: 483,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,391 : 231,961 = 231,961 : x
  2. Step 2: Convert to fraction form
    111,391/231,961 = 231,961/x
  3. Step 3: Cross multiply
    111,391x = 231,961 × 231,961
  4. Step 4: Simplify right side
    111,391x = 53,805,905,521
  5. Step 5: Solve for x
    x = 53,805,905,521/111,391
  6. Step 6: Final answer
    x = 483,036.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.