Finding the Third Proportional to 294 and 344
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Solution
The third proportional to 294 and 344 is: 402.50
Step by Step Solution
- Step 1: Write the proportion equation
294 : 344 = 344 : x - Step 2: Convert to fraction form
294/344 = 344/x - Step 3: Cross multiply
294x = 344 × 344 - Step 4: Simplify right side
294x = 118,336 - Step 5: Solve for x
x = 118,336/294 - Step 6: Final answer
x = 402.50
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.