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Finding the Third Proportional to 168,147 and 351,873

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Solution

The third proportional to 168,147 and 351,873 is: 736,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,147 : 351,873 = 351,873 : x
  2. Step 2: Convert to fraction form
    168,147/351,873 = 351,873/x
  3. Step 3: Cross multiply
    168,147x = 351,873 × 351,873
  4. Step 4: Simplify right side
    168,147x = 123,814,608,129
  5. Step 5: Solve for x
    x = 123,814,608,129/168,147
  6. Step 6: Final answer
    x = 736,347.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.