Finding the Third Proportional to 178 and 411
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Solution
The third proportional to 178 and 411 is: 948.99
Step by Step Solution
- Step 1: Write the proportion equation
178 : 411 = 411 : x - Step 2: Convert to fraction form
178/411 = 411/x - Step 3: Cross multiply
178x = 411 × 411 - Step 4: Simplify right side
178x = 168,921 - Step 5: Solve for x
x = 168,921/178 - Step 6: Final answer
x = 948.99
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.