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Finding the Third Proportional to 177,268 and 387,912

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Solution

The third proportional to 177,268 and 387,912 is: 848,860.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,268 : 387,912 = 387,912 : x
  2. Step 2: Convert to fraction form
    177,268/387,912 = 387,912/x
  3. Step 3: Cross multiply
    177,268x = 387,912 × 387,912
  4. Step 4: Simplify right side
    177,268x = 150,475,719,744
  5. Step 5: Solve for x
    x = 150,475,719,744/177,268
  6. Step 6: Final answer
    x = 848,860.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.