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Finding the Third Proportional to 115,524 and 238,797

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Solution

The third proportional to 115,524 and 238,797 is: 493,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,524 : 238,797 = 238,797 : x
  2. Step 2: Convert to fraction form
    115,524/238,797 = 238,797/x
  3. Step 3: Cross multiply
    115,524x = 238,797 × 238,797
  4. Step 4: Simplify right side
    115,524x = 57,024,007,209
  5. Step 5: Solve for x
    x = 57,024,007,209/115,524
  6. Step 6: Final answer
    x = 493,611.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.