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Finding the Third Proportional to 190,238.25 and 401,685

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Solution

The third proportional to 190,238.25 and 401,685 is: 848,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,238.25 : 401,685 = 401,685 : x
  2. Step 2: Convert to fraction form
    190,238.25/401,685 = 401,685/x
  3. Step 3: Cross multiply
    190,238.25x = 401,685 × 401,685
  4. Step 4: Simplify right side
    190,238.25x = 161,350,839,225
  5. Step 5: Solve for x
    x = 161,350,839,225/190,238.25
  6. Step 6: Final answer
    x = 848,151.41

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.