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Finding the Third Proportional to 111,342 and 228,150

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Solution

The third proportional to 111,342 and 228,150 is: 467,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,342 : 228,150 = 228,150 : x
  2. Step 2: Convert to fraction form
    111,342/228,150 = 228,150/x
  3. Step 3: Cross multiply
    111,342x = 228,150 × 228,150
  4. Step 4: Simplify right side
    111,342x = 52,052,422,500
  5. Step 5: Solve for x
    x = 52,052,422,500/111,342
  6. Step 6: Final answer
    x = 467,500.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.