Finding the Third Proportional to 164 and 195
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Solution
The third proportional to 164 and 195 is: 231.86
Step by Step Solution
- Step 1: Write the proportion equation
164 : 195 = 195 : x - Step 2: Convert to fraction form
164/195 = 195/x - Step 3: Cross multiply
164x = 195 × 195 - Step 4: Simplify right side
164x = 38,025 - Step 5: Solve for x
x = 38,025/164 - Step 6: Final answer
x = 231.86
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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.