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Finding the Third Proportional to 180,108 and 416,917

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Solution

The third proportional to 180,108 and 416,917 is: 965,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,108 : 416,917 = 416,917 : x
  2. Step 2: Convert to fraction form
    180,108/416,917 = 416,917/x
  3. Step 3: Cross multiply
    180,108x = 416,917 × 416,917
  4. Step 4: Simplify right side
    180,108x = 173,819,784,889
  5. Step 5: Solve for x
    x = 173,819,784,889/180,108
  6. Step 6: Final answer
    x = 965,086.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.