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Finding the Third Proportional to 109,732 and 239,744

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Solution

The third proportional to 109,732 and 239,744 is: 523,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,732 : 239,744 = 239,744 : x
  2. Step 2: Convert to fraction form
    109,732/239,744 = 239,744/x
  3. Step 3: Cross multiply
    109,732x = 239,744 × 239,744
  4. Step 4: Simplify right side
    109,732x = 57,477,185,536
  5. Step 5: Solve for x
    x = 57,477,185,536/109,732
  6. Step 6: Final answer
    x = 523,796.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.