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Finding the Third Proportional to 167,906 and 262,011

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Solution

The third proportional to 167,906 and 262,011 is: 408,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,906 : 262,011 = 262,011 : x
  2. Step 2: Convert to fraction form
    167,906/262,011 = 262,011/x
  3. Step 3: Cross multiply
    167,906x = 262,011 × 262,011
  4. Step 4: Simplify right side
    167,906x = 68,649,764,121
  5. Step 5: Solve for x
    x = 68,649,764,121/167,906
  6. Step 6: Final answer
    x = 408,858.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.