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Finding the Third Proportional to 111,408.86 and 231,352.14

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Solution

The third proportional to 111,408.86 and 231,352.14 is: 480,426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,408.86 : 231,352.14 = 231,352.14 : x
  2. Step 2: Convert to fraction form
    111,408.86/231,352.14 = 231,352.14/x
  3. Step 3: Cross multiply
    111,408.86x = 231,352.14 × 231,352.14
  4. Step 4: Simplify right side
    111,408.86x = 53,523,811,164.33
  5. Step 5: Solve for x
    x = 53,523,811,164.33/111,408.86
  6. Step 6: Final answer
    x = 480,426.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.