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Finding the Third Proportional to 180,112 and 416,962

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Solution

The third proportional to 180,112 and 416,962 is: 965,273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,112 : 416,962 = 416,962 : x
  2. Step 2: Convert to fraction form
    180,112/416,962 = 416,962/x
  3. Step 3: Cross multiply
    180,112x = 416,962 × 416,962
  4. Step 4: Simplify right side
    180,112x = 173,857,309,444
  5. Step 5: Solve for x
    x = 173,857,309,444/180,112
  6. Step 6: Final answer
    x = 965,273.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.