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Finding the Third Proportional to 192,915.75 and 275,185.50

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Solution

The third proportional to 192,915.75 and 275,185.50 is: 392,539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,915.75 : 275,185.50 = 275,185.50 : x
  2. Step 2: Convert to fraction form
    192,915.75/275,185.50 = 275,185.50/x
  3. Step 3: Cross multiply
    192,915.75x = 275,185.50 × 275,185.50
  4. Step 4: Simplify right side
    192,915.75x = 75,727,059,410.25
  5. Step 5: Solve for x
    x = 75,727,059,410.25/192,915.75
  6. Step 6: Final answer
    x = 392,539.54

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.