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Finding the Third Proportional to 190,081 and 441,986

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Solution

The third proportional to 190,081 and 441,986 is: 1,027,728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,081 : 441,986 = 441,986 : x
  2. Step 2: Convert to fraction form
    190,081/441,986 = 441,986/x
  3. Step 3: Cross multiply
    190,081x = 441,986 × 441,986
  4. Step 4: Simplify right side
    190,081x = 195,351,624,196
  5. Step 5: Solve for x
    x = 195,351,624,196/190,081
  6. Step 6: Final answer
    x = 1,027,728.31

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.