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Finding the Third Proportional to 168,438 and 363,903

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Solution

The third proportional to 168,438 and 363,903 is: 786,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,438 : 363,903 = 363,903 : x
  2. Step 2: Convert to fraction form
    168,438/363,903 = 363,903/x
  3. Step 3: Cross multiply
    168,438x = 363,903 × 363,903
  4. Step 4: Simplify right side
    168,438x = 132,425,393,409
  5. Step 5: Solve for x
    x = 132,425,393,409/168,438
  6. Step 6: Final answer
    x = 786,196.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.