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Finding the Third Proportional to 179,864 and 388,546

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Solution

The third proportional to 179,864 and 388,546 is: 839,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,864 : 388,546 = 388,546 : x
  2. Step 2: Convert to fraction form
    179,864/388,546 = 388,546/x
  3. Step 3: Cross multiply
    179,864x = 388,546 × 388,546
  4. Step 4: Simplify right side
    179,864x = 150,967,994,116
  5. Step 5: Solve for x
    x = 150,967,994,116/179,864
  6. Step 6: Final answer
    x = 839,345.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.