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Finding the Third Proportional to 156,939 and 228,115

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Solution

The third proportional to 156,939 and 228,115 is: 331,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,939 : 228,115 = 228,115 : x
  2. Step 2: Convert to fraction form
    156,939/228,115 = 228,115/x
  3. Step 3: Cross multiply
    156,939x = 228,115 × 228,115
  4. Step 4: Simplify right side
    156,939x = 52,036,453,225
  5. Step 5: Solve for x
    x = 52,036,453,225/156,939
  6. Step 6: Final answer
    x = 331,571.20

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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.