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Finding the Third Proportional to 190,736 and 414,245

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Solution

The third proportional to 190,736 and 414,245 is: 899,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,736 : 414,245 = 414,245 : x
  2. Step 2: Convert to fraction form
    190,736/414,245 = 414,245/x
  3. Step 3: Cross multiply
    190,736x = 414,245 × 414,245
  4. Step 4: Simplify right side
    190,736x = 171,598,920,025
  5. Step 5: Solve for x
    x = 171,598,920,025/190,736
  6. Step 6: Final answer
    x = 899,667.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.