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Finding the Third Proportional to 168,948 and 367,104

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Solution

The third proportional to 168,948 and 367,104 is: 797,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,948 : 367,104 = 367,104 : x
  2. Step 2: Convert to fraction form
    168,948/367,104 = 367,104/x
  3. Step 3: Cross multiply
    168,948x = 367,104 × 367,104
  4. Step 4: Simplify right side
    168,948x = 134,765,346,816
  5. Step 5: Solve for x
    x = 134,765,346,816/168,948
  6. Step 6: Final answer
    x = 797,673.53

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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.