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Finding the Third Proportional to 190,838.75 and 259,178.75

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Solution

The third proportional to 190,838.75 and 259,178.75 is: 351,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,838.75 : 259,178.75 = 259,178.75 : x
  2. Step 2: Convert to fraction form
    190,838.75/259,178.75 = 259,178.75/x
  3. Step 3: Cross multiply
    190,838.75x = 259,178.75 × 259,178.75
  4. Step 4: Simplify right side
    190,838.75x = 67,173,624,451.56
  5. Step 5: Solve for x
    x = 67,173,624,451.56/190,838.75
  6. Step 6: Final answer
    x = 351,991.53

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.