Answer :

**Given:** Product of three part = 4623

**To find:** Three parts.

**Formula Used:** nth term of an AP is:

a_{n =} a + (n - 1) d

**Explanation:**

Let the three parts of the number 207 are

a_{1} = a - d

a_{2} = a

a_{3} = a + d

Clearly a_{1}, a_{2} and a_{3} are in AP with common difference as d.

Now, by given condition,

Sum = 207

a_{1} + a_{2} + a_{3} = 207

( a - d ) + a + ( a + d ) = 207

3a = 207

a = 69

Also,

a_{1}a_{2} = 4623

( a - d )a = 4623

( 69 - d )69 = 4623

69 - d = 67

d = 69 - 67

d = 2

Hence, required three parts are 67, 69, 71.

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