Finding the Third Proportional to 200 and 286
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Solution
The third proportional to 200 and 286 is: 408.98
Step by Step Solution
- Step 1: Write the proportion equation
200 : 286 = 286 : x - Step 2: Convert to fraction form
200/286 = 286/x - Step 3: Cross multiply
200x = 286 × 286 - Step 4: Simplify right side
200x = 81,796 - Step 5: Solve for x
x = 81,796/200 - Step 6: Final answer
x = 408.98
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.