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Finding the Third Proportional to 188,697 and 275,268

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Solution

The third proportional to 188,697 and 275,268 is: 401,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,697 : 275,268 = 275,268 : x
  2. Step 2: Convert to fraction form
    188,697/275,268 = 275,268/x
  3. Step 3: Cross multiply
    188,697x = 275,268 × 275,268
  4. Step 4: Simplify right side
    188,697x = 75,772,471,824
  5. Step 5: Solve for x
    x = 75,772,471,824/188,697
  6. Step 6: Final answer
    x = 401,556.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.