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Finding the Third Proportional to 168,925 and 367,251

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Solution

The third proportional to 168,925 and 367,251 is: 798,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,925 : 367,251 = 367,251 : x
  2. Step 2: Convert to fraction form
    168,925/367,251 = 367,251/x
  3. Step 3: Cross multiply
    168,925x = 367,251 × 367,251
  4. Step 4: Simplify right side
    168,925x = 134,873,297,001
  5. Step 5: Solve for x
    x = 134,873,297,001/168,925
  6. Step 6: Final answer
    x = 798,421.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.