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Finding the Third Proportional to 171,902.25 and 262,794.38

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Solution

The third proportional to 171,902.25 and 262,794.38 is: 401,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,902.25 : 262,794.38 = 262,794.38 : x
  2. Step 2: Convert to fraction form
    171,902.25/262,794.38 = 262,794.38/x
  3. Step 3: Cross multiply
    171,902.25x = 262,794.38 × 262,794.38
  4. Step 4: Simplify right side
    171,902.25x = 69,060,883,531.64
  5. Step 5: Solve for x
    x = 69,060,883,531.64/171,902.25
  6. Step 6: Final answer
    x = 401,745.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.