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Finding the Third Proportional to 168,188 and 367,944

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Solution

The third proportional to 168,188 and 367,944 is: 804,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,188 : 367,944 = 367,944 : x
  2. Step 2: Convert to fraction form
    168,188/367,944 = 367,944/x
  3. Step 3: Cross multiply
    168,188x = 367,944 × 367,944
  4. Step 4: Simplify right side
    168,188x = 135,382,787,136
  5. Step 5: Solve for x
    x = 135,382,787,136/168,188
  6. Step 6: Final answer
    x = 804,949.15

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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.