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Finding the Third Proportional to 156,654 and 331,166

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Solution

The third proportional to 156,654 and 331,166 is: 700,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,654 : 331,166 = 331,166 : x
  2. Step 2: Convert to fraction form
    156,654/331,166 = 331,166/x
  3. Step 3: Cross multiply
    156,654x = 331,166 × 331,166
  4. Step 4: Simplify right side
    156,654x = 109,670,919,556
  5. Step 5: Solve for x
    x = 109,670,919,556/156,654
  6. Step 6: Final answer
    x = 700,083.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.