Finding the Third Proportional to 208 and 406.50
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Solution
The third proportional to 208 and 406.50 is: 794.43
Step by Step Solution
- Step 1: Write the proportion equation
208 : 406.50 = 406.50 : x - Step 2: Convert to fraction form
208/406.50 = 406.50/x - Step 3: Cross multiply
208x = 406.50 × 406.50 - Step 4: Simplify right side
208x = 165,242.25 - Step 5: Solve for x
x = 165,242.25/208 - Step 6: Final answer
x = 794.43
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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.