Finding the Third Proportional to 243 and 317
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Solution
The third proportional to 243 and 317 is: 413.53
Step by Step Solution
- Step 1: Write the proportion equation
243 : 317 = 317 : x - Step 2: Convert to fraction form
243/317 = 317/x - Step 3: Cross multiply
243x = 317 × 317 - Step 4: Simplify right side
243x = 100,489 - Step 5: Solve for x
x = 100,489/243 - Step 6: Final answer
x = 413.53
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.