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Finding the Third Proportional to 168,946 and 367,100

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Solution

The third proportional to 168,946 and 367,100 is: 797,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,946 : 367,100 = 367,100 : x
  2. Step 2: Convert to fraction form
    168,946/367,100 = 367,100/x
  3. Step 3: Cross multiply
    168,946x = 367,100 × 367,100
  4. Step 4: Simplify right side
    168,946x = 134,762,410,000
  5. Step 5: Solve for x
    x = 134,762,410,000/168,946
  6. Step 6: Final answer
    x = 797,665.59

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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.