Finding the Third Proportional to 206 and 348
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Solution
The third proportional to 206 and 348 is: 587.88
Step by Step Solution
- Step 1: Write the proportion equation
206 : 348 = 348 : x - Step 2: Convert to fraction form
206/348 = 348/x - Step 3: Cross multiply
206x = 348 × 348 - Step 4: Simplify right side
206x = 121,104 - Step 5: Solve for x
x = 121,104/206 - Step 6: Final answer
x = 587.88
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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.