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Finding the Third Proportional to 190,238 and 401,696

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Solution

The third proportional to 190,238 and 401,696 is: 848,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,238 : 401,696 = 401,696 : x
  2. Step 2: Convert to fraction form
    190,238/401,696 = 401,696/x
  3. Step 3: Cross multiply
    190,238x = 401,696 × 401,696
  4. Step 4: Simplify right side
    190,238x = 161,359,676,416
  5. Step 5: Solve for x
    x = 161,359,676,416/190,238
  6. Step 6: Final answer
    x = 848,198.97

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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.