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Finding the Third Proportional to 111,407 and 231,991

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Solution

The third proportional to 111,407 and 231,991 is: 483,091.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,407 : 231,991 = 231,991 : x
  2. Step 2: Convert to fraction form
    111,407/231,991 = 231,991/x
  3. Step 3: Cross multiply
    111,407x = 231,991 × 231,991
  4. Step 4: Simplify right side
    111,407x = 53,819,824,081
  5. Step 5: Solve for x
    x = 53,819,824,081/111,407
  6. Step 6: Final answer
    x = 483,091.94

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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.