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Finding the Third Proportional to 174,292 and 269,268

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Solution

The third proportional to 174,292 and 269,268 is: 415,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,292 : 269,268 = 269,268 : x
  2. Step 2: Convert to fraction form
    174,292/269,268 = 269,268/x
  3. Step 3: Cross multiply
    174,292x = 269,268 × 269,268
  4. Step 4: Simplify right side
    174,292x = 72,505,255,824
  5. Step 5: Solve for x
    x = 72,505,255,824/174,292
  6. Step 6: Final answer
    x = 415,998.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.