Finding the Third Proportional to 208 and 465.50
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Solution
The third proportional to 208 and 465.50 is: 1,041.78
Step by Step Solution
- Step 1: Write the proportion equation
208 : 465.50 = 465.50 : x - Step 2: Convert to fraction form
208/465.50 = 465.50/x - Step 3: Cross multiply
208x = 465.50 × 465.50 - Step 4: Simplify right side
208x = 216,690.25 - Step 5: Solve for x
x = 216,690.25/208 - Step 6: Final answer
x = 1,041.78
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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.