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Finding the Third Proportional to 107,449 and 236,372

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Solution

The third proportional to 107,449 and 236,372 is: 519,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,449 : 236,372 = 236,372 : x
  2. Step 2: Convert to fraction form
    107,449/236,372 = 236,372/x
  3. Step 3: Cross multiply
    107,449x = 236,372 × 236,372
  4. Step 4: Simplify right side
    107,449x = 55,871,722,384
  5. Step 5: Solve for x
    x = 55,871,722,384/107,449
  6. Step 6: Final answer
    x = 519,983.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.