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Finding the Third Proportional to 111,596.48 and 248,023.27

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Solution

The third proportional to 111,596.48 and 248,023.27 is: 551,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,596.48 : 248,023.27 = 248,023.27 : x
  2. Step 2: Convert to fraction form
    111,596.48/248,023.27 = 248,023.27/x
  3. Step 3: Cross multiply
    111,596.48x = 248,023.27 × 248,023.27
  4. Step 4: Simplify right side
    111,596.48x = 61,515,540,291.29
  5. Step 5: Solve for x
    x = 61,515,540,291.29/111,596.48
  6. Step 6: Final answer
    x = 551,231.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.