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Finding the Third Proportional to 166,826 and 367,712

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Solution

The third proportional to 166,826 and 367,712 is: 810,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,826 : 367,712 = 367,712 : x
  2. Step 2: Convert to fraction form
    166,826/367,712 = 367,712/x
  3. Step 3: Cross multiply
    166,826x = 367,712 × 367,712
  4. Step 4: Simplify right side
    166,826x = 135,212,114,944
  5. Step 5: Solve for x
    x = 135,212,114,944/166,826
  6. Step 6: Final answer
    x = 810,497.85

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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.