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Finding the Third Proportional to 166,823 and 367,009

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Solution

The third proportional to 166,823 and 367,009 is: 807,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,823 : 367,009 = 367,009 : x
  2. Step 2: Convert to fraction form
    166,823/367,009 = 367,009/x
  3. Step 3: Cross multiply
    166,823x = 367,009 × 367,009
  4. Step 4: Simplify right side
    166,823x = 134,695,606,081
  5. Step 5: Solve for x
    x = 134,695,606,081/166,823
  6. Step 6: Final answer
    x = 807,416.28

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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.