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Finding the Third Proportional to 190,022 and 401,404

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Solution

The third proportional to 190,022 and 401,404 is: 847,929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,022 : 401,404 = 401,404 : x
  2. Step 2: Convert to fraction form
    190,022/401,404 = 401,404/x
  3. Step 3: Cross multiply
    190,022x = 401,404 × 401,404
  4. Step 4: Simplify right side
    190,022x = 161,125,171,216
  5. Step 5: Solve for x
    x = 161,125,171,216/190,022
  6. Step 6: Final answer
    x = 847,929.04

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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.