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Finding the Third Proportional to 166,696 and 370,256

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Solution

The third proportional to 166,696 and 370,256 is: 822,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,696 : 370,256 = 370,256 : x
  2. Step 2: Convert to fraction form
    166,696/370,256 = 370,256/x
  3. Step 3: Cross multiply
    166,696x = 370,256 × 370,256
  4. Step 4: Simplify right side
    166,696x = 137,089,505,536
  5. Step 5: Solve for x
    x = 137,089,505,536/166,696
  6. Step 6: Final answer
    x = 822,392.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.