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We can set up a proportion to solve this problem.
Let x be the number of ounces of noodles needed for 17 servings.
Therefore, we have the proportion:
7 ounces / 8 servings = x ounces / 17 servings
Cross-multiplying, we get:
8 * x = 7 * 17
Simplifying the right side of the equation:
8 * x = 119
Dividing both sides by 8:
x = 119 / 8
x β 14.875
Rounding to the nearest ounce, we find that around 15 ounces of noodles are needed for 17 servings.