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Finding the Third Proportional to 190,191 and 401,605

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Solution

The third proportional to 190,191 and 401,605 is: 848,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,191 : 401,605 = 401,605 : x
  2. Step 2: Convert to fraction form
    190,191/401,605 = 401,605/x
  3. Step 3: Cross multiply
    190,191x = 401,605 × 401,605
  4. Step 4: Simplify right side
    190,191x = 161,286,576,025
  5. Step 5: Solve for x
    x = 161,286,576,025/190,191
  6. Step 6: Final answer
    x = 848,024.23

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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.