Koliko ima troznamenkastih prirodnih brojeva

za koje vrijedi

?
How many three-digit natural numbers

satisfy the condition

?
[lang=hr]
Koliko ima troznamenkastih prirodnih brojeva $\overline{abc}$ za koje vrijedi $\frac{a}{b}+\frac{b}{c}+\frac{c}{a}=3$ ?
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[lang=en]
How many three-digit natural numbers $\overline{abc}$ satisfy the condition $\frac{a}{b}+\frac{b}{c}+\frac{c}{a}=3$?
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