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Finding the Third Proportional to 108,240.75 and 231,183

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Solution

The third proportional to 108,240.75 and 231,183 is: 493,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,240.75 : 231,183 = 231,183 : x
  2. Step 2: Convert to fraction form
    108,240.75/231,183 = 231,183/x
  3. Step 3: Cross multiply
    108,240.75x = 231,183 × 231,183
  4. Step 4: Simplify right side
    108,240.75x = 53,445,579,489
  5. Step 5: Solve for x
    x = 53,445,579,489/108,240.75
  6. Step 6: Final answer
    x = 493,765.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.