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Finding the Third Proportional to 108,041 and 233,393

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Solution

The third proportional to 108,041 and 233,393 is: 504,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,041 : 233,393 = 233,393 : x
  2. Step 2: Convert to fraction form
    108,041/233,393 = 233,393/x
  3. Step 3: Cross multiply
    108,041x = 233,393 × 233,393
  4. Step 4: Simplify right side
    108,041x = 54,472,292,449
  5. Step 5: Solve for x
    x = 54,472,292,449/108,041
  6. Step 6: Final answer
    x = 504,181.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.