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Finding the Third Proportional to 166,998.94 and 363,968.44

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Solution

The third proportional to 166,998.94 and 363,968.44 is: 793,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,998.94 : 363,968.44 = 363,968.44 : x
  2. Step 2: Convert to fraction form
    166,998.94/363,968.44 = 363,968.44/x
  3. Step 3: Cross multiply
    166,998.94x = 363,968.44 × 363,968.44
  4. Step 4: Simplify right side
    166,998.94x = 132,473,023,496.19
  5. Step 5: Solve for x
    x = 132,473,023,496.19/166,998.94
  6. Step 6: Final answer
    x = 793,256.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.