Finding the Third Proportional to 242 and 382
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Solution
The third proportional to 242 and 382 is: 602.99
Step by Step Solution
- Step 1: Write the proportion equation
242 : 382 = 382 : x - Step 2: Convert to fraction form
242/382 = 382/x - Step 3: Cross multiply
242x = 382 × 382 - Step 4: Simplify right side
242x = 145,924 - Step 5: Solve for x
x = 145,924/242 - Step 6: Final answer
x = 602.99
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.