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Finding the Third Proportional to 110,233.50 and 239,259

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Solution

The third proportional to 110,233.50 and 239,259 is: 519,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,233.50 : 239,259 = 239,259 : x
  2. Step 2: Convert to fraction form
    110,233.50/239,259 = 239,259/x
  3. Step 3: Cross multiply
    110,233.50x = 239,259 × 239,259
  4. Step 4: Simplify right side
    110,233.50x = 57,244,869,081
  5. Step 5: Solve for x
    x = 57,244,869,081/110,233.50
  6. Step 6: Final answer
    x = 519,305.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.