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Finding the Third Proportional to 167,422 and 367,892

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Solution

The third proportional to 167,422 and 367,892 is: 808,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,422 : 367,892 = 367,892 : x
  2. Step 2: Convert to fraction form
    167,422/367,892 = 367,892/x
  3. Step 3: Cross multiply
    167,422x = 367,892 × 367,892
  4. Step 4: Simplify right side
    167,422x = 135,344,523,664
  5. Step 5: Solve for x
    x = 135,344,523,664/167,422
  6. Step 6: Final answer
    x = 808,403.46

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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.