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Finding the Third Proportional to 183,486.94 and 274,376.53

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Solution

The third proportional to 183,486.94 and 274,376.53 is: 410,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,486.94 : 274,376.53 = 274,376.53 : x
  2. Step 2: Convert to fraction form
    183,486.94/274,376.53 = 274,376.53/x
  3. Step 3: Cross multiply
    183,486.94x = 274,376.53 × 274,376.53
  4. Step 4: Simplify right side
    183,486.94x = 75,282,480,900.78
  5. Step 5: Solve for x
    x = 75,282,480,900.78/183,486.94
  6. Step 6: Final answer
    x = 410,287.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.