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Finding the Third Proportional to 186,912.75 and 405,375

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Solution

The third proportional to 186,912.75 and 405,375 is: 879,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,912.75 : 405,375 = 405,375 : x
  2. Step 2: Convert to fraction form
    186,912.75/405,375 = 405,375/x
  3. Step 3: Cross multiply
    186,912.75x = 405,375 × 405,375
  4. Step 4: Simplify right side
    186,912.75x = 164,328,890,625
  5. Step 5: Solve for x
    x = 164,328,890,625/186,912.75
  6. Step 6: Final answer
    x = 879,174.32

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