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Finding the Third Proportional to 168,866 and 367,000

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Solution

The third proportional to 168,866 and 367,000 is: 797,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,866 : 367,000 = 367,000 : x
  2. Step 2: Convert to fraction form
    168,866/367,000 = 367,000/x
  3. Step 3: Cross multiply
    168,866x = 367,000 × 367,000
  4. Step 4: Simplify right side
    168,866x = 134,689,000,000
  5. Step 5: Solve for x
    x = 134,689,000,000/168,866
  6. Step 6: Final answer
    x = 797,608.75

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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.