Finding the Third Proportional to 178 and 201
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Solution
The third proportional to 178 and 201 is: 226.97
Step by Step Solution
- Step 1: Write the proportion equation
178 : 201 = 201 : x - Step 2: Convert to fraction form
178/201 = 201/x - Step 3: Cross multiply
178x = 201 × 201 - Step 4: Simplify right side
178x = 40,401 - Step 5: Solve for x
x = 40,401/178 - Step 6: Final answer
x = 226.97
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.