Finding the Third Proportional to 212 and 492.50
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Solution
The third proportional to 212 and 492.50 is: 1,144.13
Step by Step Solution
- Step 1: Write the proportion equation
212 : 492.50 = 492.50 : x - Step 2: Convert to fraction form
212/492.50 = 492.50/x - Step 3: Cross multiply
212x = 492.50 × 492.50 - Step 4: Simplify right side
212x = 242,556.25 - Step 5: Solve for x
x = 242,556.25/212 - Step 6: Final answer
x = 1,144.13
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.