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Finding the Third Proportional to 167,908 and 262,014

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Solution

The third proportional to 167,908 and 262,014 is: 408,862.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,908 : 262,014 = 262,014 : x
  2. Step 2: Convert to fraction form
    167,908/262,014 = 262,014/x
  3. Step 3: Cross multiply
    167,908x = 262,014 × 262,014
  4. Step 4: Simplify right side
    167,908x = 68,651,336,196
  5. Step 5: Solve for x
    x = 68,651,336,196/167,908
  6. Step 6: Final answer
    x = 408,862.81

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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.