Finding the Third Proportional to 174 and 185
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Solution
The third proportional to 174 and 185 is: 196.70
Step by Step Solution
- Step 1: Write the proportion equation
174 : 185 = 185 : x - Step 2: Convert to fraction form
174/185 = 185/x - Step 3: Cross multiply
174x = 185 × 185 - Step 4: Simplify right side
174x = 34,225 - Step 5: Solve for x
x = 34,225/174 - Step 6: Final answer
x = 196.70
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These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.