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Finding the Third Proportional to 168,903 and 367,011

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Solution

The third proportional to 168,903 and 367,011 is: 797,481.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,903 : 367,011 = 367,011 : x
  2. Step 2: Convert to fraction form
    168,903/367,011 = 367,011/x
  3. Step 3: Cross multiply
    168,903x = 367,011 × 367,011
  4. Step 4: Simplify right side
    168,903x = 134,697,074,121
  5. Step 5: Solve for x
    x = 134,697,074,121/168,903
  6. Step 6: Final answer
    x = 797,481.83

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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.