Finding the Third Proportional to 206 and 372
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Solution
The third proportional to 206 and 372 is: 671.77
Step by Step Solution
- Step 1: Write the proportion equation
206 : 372 = 372 : x - Step 2: Convert to fraction form
206/372 = 372/x - Step 3: Cross multiply
206x = 372 × 372 - Step 4: Simplify right side
206x = 138,384 - Step 5: Solve for x
x = 138,384/206 - Step 6: Final answer
x = 671.77
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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.