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Finding the Third Proportional to 190,198 and 401,613

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Solution

The third proportional to 190,198 and 401,613 is: 848,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,198 : 401,613 = 401,613 : x
  2. Step 2: Convert to fraction form
    190,198/401,613 = 401,613/x
  3. Step 3: Cross multiply
    190,198x = 401,613 × 401,613
  4. Step 4: Simplify right side
    190,198x = 161,293,001,769
  5. Step 5: Solve for x
    x = 161,293,001,769/190,198
  6. Step 6: Final answer
    x = 848,026.80

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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.