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Finding the Third Proportional to 110,173.50 and 226,867.50

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Solution

The third proportional to 110,173.50 and 226,867.50 is: 467,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,173.50 : 226,867.50 = 226,867.50 : x
  2. Step 2: Convert to fraction form
    110,173.50/226,867.50 = 226,867.50/x
  3. Step 3: Cross multiply
    110,173.50x = 226,867.50 × 226,867.50
  4. Step 4: Simplify right side
    110,173.50x = 51,468,862,556.25
  5. Step 5: Solve for x
    x = 51,468,862,556.25/110,173.50
  6. Step 6: Final answer
    x = 467,161.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.