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Finding the Third Proportional to 190,296 and 414,496

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Solution

The third proportional to 190,296 and 414,496 is: 902,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,296 : 414,496 = 414,496 : x
  2. Step 2: Convert to fraction form
    190,296/414,496 = 414,496/x
  3. Step 3: Cross multiply
    190,296x = 414,496 × 414,496
  4. Step 4: Simplify right side
    190,296x = 171,806,934,016
  5. Step 5: Solve for x
    x = 171,806,934,016/190,296
  6. Step 6: Final answer
    x = 902,840.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.