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Finding the Third Proportional to 168,186 and 367,940

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Solution

The third proportional to 168,186 and 367,940 is: 804,941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,186 : 367,940 = 367,940 : x
  2. Step 2: Convert to fraction form
    168,186/367,940 = 367,940/x
  3. Step 3: Cross multiply
    168,186x = 367,940 × 367,940
  4. Step 4: Simplify right side
    168,186x = 135,379,843,600
  5. Step 5: Solve for x
    x = 135,379,843,600/168,186
  6. Step 6: Final answer
    x = 804,941.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.