Finding the Third Proportional to 65 and 164
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Solution
The third proportional to 65 and 164 is: 413.78
Step by Step Solution
- Step 1: Write the proportion equation
65 : 164 = 164 : x - Step 2: Convert to fraction form
65/164 = 164/x - Step 3: Cross multiply
65x = 164 × 164 - Step 4: Simplify right side
65x = 26,896 - Step 5: Solve for x
x = 26,896/65 - Step 6: Final answer
x = 413.78
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These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.