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Finding the Third Proportional to 190,744 and 418,832

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Solution

The third proportional to 190,744 and 418,832 is: 919,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,744 : 418,832 = 418,832 : x
  2. Step 2: Convert to fraction form
    190,744/418,832 = 418,832/x
  3. Step 3: Cross multiply
    190,744x = 418,832 × 418,832
  4. Step 4: Simplify right side
    190,744x = 175,420,244,224
  5. Step 5: Solve for x
    x = 175,420,244,224/190,744
  6. Step 6: Final answer
    x = 919,663.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.