Finding the Third Proportional to 208 and 506
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Solution
The third proportional to 208 and 506 is: 1,230.94
Step by Step Solution
- Step 1: Write the proportion equation
208 : 506 = 506 : x - Step 2: Convert to fraction form
208/506 = 506/x - Step 3: Cross multiply
208x = 506 × 506 - Step 4: Simplify right side
208x = 256,036 - Step 5: Solve for x
x = 256,036/208 - Step 6: Final answer
x = 1,230.94
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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.