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Finding the Third Proportional to 168,069 and 367,605

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Solution

The third proportional to 168,069 and 367,605 is: 804,035.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,069 : 367,605 = 367,605 : x
  2. Step 2: Convert to fraction form
    168,069/367,605 = 367,605/x
  3. Step 3: Cross multiply
    168,069x = 367,605 × 367,605
  4. Step 4: Simplify right side
    168,069x = 135,133,436,025
  5. Step 5: Solve for x
    x = 135,133,436,025/168,069
  6. Step 6: Final answer
    x = 804,035.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.