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Finding the Third Proportional to 168,986 and 367,168

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Solution

The third proportional to 168,986 and 367,168 is: 797,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,986 : 367,168 = 367,168 : x
  2. Step 2: Convert to fraction form
    168,986/367,168 = 367,168/x
  3. Step 3: Cross multiply
    168,986x = 367,168 × 367,168
  4. Step 4: Simplify right side
    168,986x = 134,812,340,224
  5. Step 5: Solve for x
    x = 134,812,340,224/168,986
  6. Step 6: Final answer
    x = 797,772.24

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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.