Finding the Third Proportional to 278 and 379
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Solution
The third proportional to 278 and 379 is: 516.69
Step by Step Solution
- Step 1: Write the proportion equation
278 : 379 = 379 : x - Step 2: Convert to fraction form
278/379 = 379/x - Step 3: Cross multiply
278x = 379 × 379 - Step 4: Simplify right side
278x = 143,641 - Step 5: Solve for x
x = 143,641/278 - Step 6: Final answer
x = 516.69
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.