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Finding the Third Proportional to 107,193 and 239,760

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Solution

The third proportional to 107,193 and 239,760 is: 536,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,193 : 239,760 = 239,760 : x
  2. Step 2: Convert to fraction form
    107,193/239,760 = 239,760/x
  3. Step 3: Cross multiply
    107,193x = 239,760 × 239,760
  4. Step 4: Simplify right side
    107,193x = 57,484,857,600
  5. Step 5: Solve for x
    x = 57,484,857,600/107,193
  6. Step 6: Final answer
    x = 536,274.36

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.