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Finding the Third Proportional to 156,950 and 228,131

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Solution

The third proportional to 156,950 and 228,131 is: 331,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,950 : 228,131 = 228,131 : x
  2. Step 2: Convert to fraction form
    156,950/228,131 = 228,131/x
  3. Step 3: Cross multiply
    156,950x = 228,131 × 228,131
  4. Step 4: Simplify right side
    156,950x = 52,043,753,161
  5. Step 5: Solve for x
    x = 52,043,753,161/156,950
  6. Step 6: Final answer
    x = 331,594.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.