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Finding the Third Proportional to 168,884 and 368,872

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Solution

The third proportional to 168,884 and 368,872 is: 805,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,884 : 368,872 = 368,872 : x
  2. Step 2: Convert to fraction form
    168,884/368,872 = 368,872/x
  3. Step 3: Cross multiply
    168,884x = 368,872 × 368,872
  4. Step 4: Simplify right side
    168,884x = 136,066,552,384
  5. Step 5: Solve for x
    x = 136,066,552,384/168,884
  6. Step 6: Final answer
    x = 805,680.54

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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.