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Finding the Third Proportional to 190,992 and 416,976

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Solution

The third proportional to 190,992 and 416,976 is: 910,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,992 : 416,976 = 416,976 : x
  2. Step 2: Convert to fraction form
    190,992/416,976 = 416,976/x
  3. Step 3: Cross multiply
    190,992x = 416,976 × 416,976
  4. Step 4: Simplify right side
    190,992x = 173,868,984,576
  5. Step 5: Solve for x
    x = 173,868,984,576/190,992
  6. Step 6: Final answer
    x = 910,346.95

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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.