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Chapter 7 - 1 Geometry Using Proportions Objective(s) 1. Use ratios and proportions to solve problems. 2. Find the geometric mean between two numbers. A. Ratio Simplify each ratio: 6 m to 64 m Extended Ratio B. 15 minutes to 2 hours The measures of the angles of a triangle are in a ratio of 1:2:3. Find the measures of each angle. Proportion 1. Is the following a proportion? 2. Solving Proportions ? Chapter 7 - 1 Cont'd Applications 3. a. Marvin and Gwen share profits in a ratio of 2 to 3. If Gwen's share is $360, how much does Marvin get? b. The scale on a map is 1 inch = 15 miles. If the distance between two towns is 180 miles, how far apart are they on the map? c. You need to estimate the number of trees in a 150 acre section of real estate. You count 270 trees in a 2 acre plot, and the trees are distributed uniformly. Use a proportion to estimate the total number of trees. C. Geometric Mean The positive number x, such that Find the geometric mean between each pair of numbers. Leave your answer in simplified radical form. . 1. 4 and 9 2. 6 and 15 3. 5 and 45 4. 8 and 10