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Finding the Third Proportional to 190,279.97 and 418,224.94

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Solution

The third proportional to 190,279.97 and 418,224.94 is: 919,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,279.97 : 418,224.94 = 418,224.94 : x
  2. Step 2: Convert to fraction form
    190,279.97/418,224.94 = 418,224.94/x
  3. Step 3: Cross multiply
    190,279.97x = 418,224.94 × 418,224.94
  4. Step 4: Simplify right side
    190,279.97x = 174,912,098,346.88
  5. Step 5: Solve for x
    x = 174,912,098,346.88/190,279.97
  6. Step 6: Final answer
    x = 919,235.48

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