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Finding the Third Proportional to 114,472 and 239,393

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Solution

The third proportional to 114,472 and 239,393 is: 500,637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,472 : 239,393 = 239,393 : x
  2. Step 2: Convert to fraction form
    114,472/239,393 = 239,393/x
  3. Step 3: Cross multiply
    114,472x = 239,393 × 239,393
  4. Step 4: Simplify right side
    114,472x = 57,309,008,449
  5. Step 5: Solve for x
    x = 57,309,008,449/114,472
  6. Step 6: Final answer
    x = 500,637.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.