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Finding the Third Proportional to 156,741 and 204,189

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Solution

The third proportional to 156,741 and 204,189 is: 266,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,741 : 204,189 = 204,189 : x
  2. Step 2: Convert to fraction form
    156,741/204,189 = 204,189/x
  3. Step 3: Cross multiply
    156,741x = 204,189 × 204,189
  4. Step 4: Simplify right side
    156,741x = 41,693,147,721
  5. Step 5: Solve for x
    x = 41,693,147,721/156,741
  6. Step 6: Final answer
    x = 266,000.27

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.