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Finding the Third Proportional to 168,906 and 367,017

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Solution

The third proportional to 168,906 and 367,017 is: 797,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,906 : 367,017 = 367,017 : x
  2. Step 2: Convert to fraction form
    168,906/367,017 = 367,017/x
  3. Step 3: Cross multiply
    168,906x = 367,017 × 367,017
  4. Step 4: Simplify right side
    168,906x = 134,701,478,289
  5. Step 5: Solve for x
    x = 134,701,478,289/168,906
  6. Step 6: Final answer
    x = 797,493.74

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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.