Finding the Third Proportional to 349 and 361
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Solution
The third proportional to 349 and 361 is: 373.41
Step by Step Solution
- Step 1: Write the proportion equation
349 : 361 = 361 : x - Step 2: Convert to fraction form
349/361 = 361/x - Step 3: Cross multiply
349x = 361 × 361 - Step 4: Simplify right side
349x = 130,321 - Step 5: Solve for x
x = 130,321/349 - Step 6: Final answer
x = 373.41
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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.