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Finding the Third Proportional to 190,197 and 401,611

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Solution

The third proportional to 190,197 and 401,611 is: 848,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,197 : 401,611 = 401,611 : x
  2. Step 2: Convert to fraction form
    190,197/401,611 = 401,611/x
  3. Step 3: Cross multiply
    190,197x = 401,611 × 401,611
  4. Step 4: Simplify right side
    190,197x = 161,291,395,321
  5. Step 5: Solve for x
    x = 161,291,395,321/190,197
  6. Step 6: Final answer
    x = 848,022.81

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Why These Related Problems?

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