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Finding the Third Proportional to 156,971 and 228,163

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Solution

The third proportional to 156,971 and 228,163 is: 331,643.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,971 : 228,163 = 228,163 : x
  2. Step 2: Convert to fraction form
    156,971/228,163 = 228,163/x
  3. Step 3: Cross multiply
    156,971x = 228,163 × 228,163
  4. Step 4: Simplify right side
    156,971x = 52,058,354,569
  5. Step 5: Solve for x
    x = 52,058,354,569/156,971
  6. Step 6: Final answer
    x = 331,643.14

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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.