Finding the Third Proportional to 284 and 361
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Solution
The third proportional to 284 and 361 is: 458.88
Step by Step Solution
- Step 1: Write the proportion equation
284 : 361 = 361 : x - Step 2: Convert to fraction form
284/361 = 361/x - Step 3: Cross multiply
284x = 361 × 361 - Step 4: Simplify right side
284x = 130,321 - Step 5: Solve for x
x = 130,321/284 - Step 6: Final answer
x = 458.88
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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.