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Finding the Third Proportional to 156,967 and 228,157

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Solution

The third proportional to 156,967 and 228,157 is: 331,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,967 : 228,157 = 228,157 : x
  2. Step 2: Convert to fraction form
    156,967/228,157 = 228,157/x
  3. Step 3: Cross multiply
    156,967x = 228,157 × 228,157
  4. Step 4: Simplify right side
    156,967x = 52,055,616,649
  5. Step 5: Solve for x
    x = 52,055,616,649/156,967
  6. Step 6: Final answer
    x = 331,634.14

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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.