Finding the Third Proportional to 178 and 354
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Solution
The third proportional to 178 and 354 is: 704.02
Step by Step Solution
- Step 1: Write the proportion equation
178 : 354 = 354 : x - Step 2: Convert to fraction form
178/354 = 354/x - Step 3: Cross multiply
178x = 354 × 354 - Step 4: Simplify right side
178x = 125,316 - Step 5: Solve for x
x = 125,316/178 - Step 6: Final answer
x = 704.02
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These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.