Finding the Third Proportional to 161 and 173.50
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Solution
The third proportional to 161 and 173.50 is: 186.97
Step by Step Solution
- Step 1: Write the proportion equation
161 : 173.50 = 173.50 : x - Step 2: Convert to fraction form
161/173.50 = 173.50/x - Step 3: Cross multiply
161x = 173.50 × 173.50 - Step 4: Simplify right side
161x = 30,102.25 - Step 5: Solve for x
x = 30,102.25/161 - Step 6: Final answer
x = 186.97
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.