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Finding the Third Proportional to 110,236.50 and 239,265

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Solution

The third proportional to 110,236.50 and 239,265 is: 519,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,236.50 : 239,265 = 239,265 : x
  2. Step 2: Convert to fraction form
    110,236.50/239,265 = 239,265/x
  3. Step 3: Cross multiply
    110,236.50x = 239,265 × 239,265
  4. Step 4: Simplify right side
    110,236.50x = 57,247,740,225
  5. Step 5: Solve for x
    x = 57,247,740,225/110,236.50
  6. Step 6: Final answer
    x = 519,317.47

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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.