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Finding the Third Proportional to 167,360 and 367,892

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Solution

The third proportional to 167,360 and 367,892 is: 808,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,360 : 367,892 = 367,892 : x
  2. Step 2: Convert to fraction form
    167,360/367,892 = 367,892/x
  3. Step 3: Cross multiply
    167,360x = 367,892 × 367,892
  4. Step 4: Simplify right side
    167,360x = 135,344,523,664
  5. Step 5: Solve for x
    x = 135,344,523,664/167,360
  6. Step 6: Final answer
    x = 808,702.94

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