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Finding the Third Proportional to 168,630 and 367,008

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Solution

The third proportional to 168,630 and 367,008 is: 798,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,630 : 367,008 = 367,008 : x
  2. Step 2: Convert to fraction form
    168,630/367,008 = 367,008/x
  3. Step 3: Cross multiply
    168,630x = 367,008 × 367,008
  4. Step 4: Simplify right side
    168,630x = 134,694,872,064
  5. Step 5: Solve for x
    x = 134,694,872,064/168,630
  6. Step 6: Final answer
    x = 798,759.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.