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Finding the Third Proportional to 156,093 and 331,623

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Solution

The third proportional to 156,093 and 331,623 is: 704,540.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,093 : 331,623 = 331,623 : x
  2. Step 2: Convert to fraction form
    156,093/331,623 = 331,623/x
  3. Step 3: Cross multiply
    156,093x = 331,623 × 331,623
  4. Step 4: Simplify right side
    156,093x = 109,973,814,129
  5. Step 5: Solve for x
    x = 109,973,814,129/156,093
  6. Step 6: Final answer
    x = 704,540.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.