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Finding the Third Proportional to 177,264 and 387,904

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Solution

The third proportional to 177,264 and 387,904 is: 848,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,264 : 387,904 = 387,904 : x
  2. Step 2: Convert to fraction form
    177,264/387,904 = 387,904/x
  3. Step 3: Cross multiply
    177,264x = 387,904 × 387,904
  4. Step 4: Simplify right side
    177,264x = 150,469,513,216
  5. Step 5: Solve for x
    x = 150,469,513,216/177,264
  6. Step 6: Final answer
    x = 848,844.17

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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.