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Finding the Third Proportional to 156,962 and 228,149

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Solution

The third proportional to 156,962 and 228,149 is: 331,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,962 : 228,149 = 228,149 : x
  2. Step 2: Convert to fraction form
    156,962/228,149 = 228,149/x
  3. Step 3: Cross multiply
    156,962x = 228,149 × 228,149
  4. Step 4: Simplify right side
    156,962x = 52,051,966,201
  5. Step 5: Solve for x
    x = 52,051,966,201/156,962
  6. Step 6: Final answer
    x = 331,621.45

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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.