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Finding the Third Proportional to 168,957 and 365,797

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Solution

The third proportional to 168,957 and 365,797 is: 791,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,957 : 365,797 = 365,797 : x
  2. Step 2: Convert to fraction form
    168,957/365,797 = 365,797/x
  3. Step 3: Cross multiply
    168,957x = 365,797 × 365,797
  4. Step 4: Simplify right side
    168,957x = 133,807,445,209
  5. Step 5: Solve for x
    x = 133,807,445,209/168,957
  6. Step 6: Final answer
    x = 791,961.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.