Finding the Third Proportional to 284 and 330
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Solution
The third proportional to 284 and 330 is: 383.45
Step by Step Solution
- Step 1: Write the proportion equation
284 : 330 = 330 : x - Step 2: Convert to fraction form
284/330 = 330/x - Step 3: Cross multiply
284x = 330 × 330 - Step 4: Simplify right side
284x = 108,900 - Step 5: Solve for x
x = 108,900/284 - Step 6: Final answer
x = 383.45
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.