Finding the Third Proportional to 242 and 362
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Solution
The third proportional to 242 and 362 is: 541.50
Step by Step Solution
- Step 1: Write the proportion equation
242 : 362 = 362 : x - Step 2: Convert to fraction form
242/362 = 362/x - Step 3: Cross multiply
242x = 362 × 362 - Step 4: Simplify right side
242x = 131,044 - Step 5: Solve for x
x = 131,044/242 - Step 6: Final answer
x = 541.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.