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Finding the Third Proportional to 167,611.78 and 363,795.47

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Solution

The third proportional to 167,611.78 and 363,795.47 is: 789,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,611.78 : 363,795.47 = 363,795.47 : x
  2. Step 2: Convert to fraction form
    167,611.78/363,795.47 = 363,795.47/x
  3. Step 3: Cross multiply
    167,611.78x = 363,795.47 × 363,795.47
  4. Step 4: Simplify right side
    167,611.78x = 132,347,143,083.03
  5. Step 5: Solve for x
    x = 132,347,143,083.03/167,611.78
  6. Step 6: Final answer
    x = 789,605.25

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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.