Finding the Third Proportional to 254 and 344
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Solution
The third proportional to 254 and 344 is: 465.89
Step by Step Solution
- Step 1: Write the proportion equation
254 : 344 = 344 : x - Step 2: Convert to fraction form
254/344 = 344/x - Step 3: Cross multiply
254x = 344 × 344 - Step 4: Simplify right side
254x = 118,336 - Step 5: Solve for x
x = 118,336/254 - Step 6: Final answer
x = 465.89
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.