Finding the Third Proportional to 178 and 396
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Solution
The third proportional to 178 and 396 is: 880.99
Step by Step Solution
- Step 1: Write the proportion equation
178 : 396 = 396 : x - Step 2: Convert to fraction form
178/396 = 396/x - Step 3: Cross multiply
178x = 396 × 396 - Step 4: Simplify right side
178x = 156,816 - Step 5: Solve for x
x = 156,816/178 - Step 6: Final answer
x = 880.99
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.