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Finding the Third Proportional to 167,640 and 363,036

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Solution

The third proportional to 167,640 and 363,036 is: 786,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,640 : 363,036 = 363,036 : x
  2. Step 2: Convert to fraction form
    167,640/363,036 = 363,036/x
  3. Step 3: Cross multiply
    167,640x = 363,036 × 363,036
  4. Step 4: Simplify right side
    167,640x = 131,795,137,296
  5. Step 5: Solve for x
    x = 131,795,137,296/167,640
  6. Step 6: Final answer
    x = 786,179.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.