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Finding the Third Proportional to 167,965.31 and 365,453.44

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Solution

The third proportional to 167,965.31 and 365,453.44 is: 795,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,965.31 : 365,453.44 = 365,453.44 : x
  2. Step 2: Convert to fraction form
    167,965.31/365,453.44 = 365,453.44/x
  3. Step 3: Cross multiply
    167,965.31x = 365,453.44 × 365,453.44
  4. Step 4: Simplify right side
    167,965.31x = 133,556,214,980.57
  5. Step 5: Solve for x
    x = 133,556,214,980.57/167,965.31
  6. Step 6: Final answer
    x = 795,141.65

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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.