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Finding the Third Proportional to 168,886 and 368,876

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Solution

The third proportional to 168,886 and 368,876 is: 805,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,886 : 368,876 = 368,876 : x
  2. Step 2: Convert to fraction form
    168,886/368,876 = 368,876/x
  3. Step 3: Cross multiply
    168,886x = 368,876 × 368,876
  4. Step 4: Simplify right side
    168,886x = 136,069,503,376
  5. Step 5: Solve for x
    x = 136,069,503,376/168,886
  6. Step 6: Final answer
    x = 805,688.47

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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.