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Finding the Third Proportional to 168,904 and 364,876

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Solution

The third proportional to 168,904 and 364,876 is: 788,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,904 : 364,876 = 364,876 : x
  2. Step 2: Convert to fraction form
    168,904/364,876 = 364,876/x
  3. Step 3: Cross multiply
    168,904x = 364,876 × 364,876
  4. Step 4: Simplify right side
    168,904x = 133,134,495,376
  5. Step 5: Solve for x
    x = 133,134,495,376/168,904
  6. Step 6: Final answer
    x = 788,225.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.