Finding the Third Proportional to 279 and 327
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Solution
The third proportional to 279 and 327 is: 383.26
Step by Step Solution
- Step 1: Write the proportion equation
279 : 327 = 327 : x - Step 2: Convert to fraction form
279/327 = 327/x - Step 3: Cross multiply
279x = 327 × 327 - Step 4: Simplify right side
279x = 106,929 - Step 5: Solve for x
x = 106,929/279 - Step 6: Final answer
x = 383.26
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Why These Related Problems?
These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.