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Finding the Third Proportional to 192,142.50 and 306,951.75

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Solution

The third proportional to 192,142.50 and 306,951.75 is: 490,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,142.50 : 306,951.75 = 306,951.75 : x
  2. Step 2: Convert to fraction form
    192,142.50/306,951.75 = 306,951.75/x
  3. Step 3: Cross multiply
    192,142.50x = 306,951.75 × 306,951.75
  4. Step 4: Simplify right side
    192,142.50x = 94,219,376,828.06
  5. Step 5: Solve for x
    x = 94,219,376,828.06/192,142.50
  6. Step 6: Final answer
    x = 490,361.98

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.