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Finding the Third Proportional to 168,908 and 367,021

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Solution

The third proportional to 168,908 and 367,021 is: 797,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,908 : 367,021 = 367,021 : x
  2. Step 2: Convert to fraction form
    168,908/367,021 = 367,021/x
  3. Step 3: Cross multiply
    168,908x = 367,021 × 367,021
  4. Step 4: Simplify right side
    168,908x = 134,704,414,441
  5. Step 5: Solve for x
    x = 134,704,414,441/168,908
  6. Step 6: Final answer
    x = 797,501.68

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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.