Finding the Third Proportional to 200 and 206
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Solution
The third proportional to 200 and 206 is: 212.18
Step by Step Solution
- Step 1: Write the proportion equation
200 : 206 = 206 : x - Step 2: Convert to fraction form
200/206 = 206/x - Step 3: Cross multiply
200x = 206 × 206 - Step 4: Simplify right side
200x = 42,436 - Step 5: Solve for x
x = 42,436/200 - Step 6: Final answer
x = 212.18
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Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.