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Finding the Third Proportional to 166,821 and 367,005

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Solution

The third proportional to 166,821 and 367,005 is: 807,408.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,821 : 367,005 = 367,005 : x
  2. Step 2: Convert to fraction form
    166,821/367,005 = 367,005/x
  3. Step 3: Cross multiply
    166,821x = 367,005 × 367,005
  4. Step 4: Simplify right side
    166,821x = 134,692,670,025
  5. Step 5: Solve for x
    x = 134,692,670,025/166,821
  6. Step 6: Final answer
    x = 807,408.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.