Finding the Third Proportional to 164 and 175
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Solution
The third proportional to 164 and 175 is: 186.74
Step by Step Solution
- Step 1: Write the proportion equation
164 : 175 = 175 : x - Step 2: Convert to fraction form
164/175 = 175/x - Step 3: Cross multiply
164x = 175 × 175 - Step 4: Simplify right side
164x = 30,625 - Step 5: Solve for x
x = 30,625/164 - Step 6: Final answer
x = 186.74
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.