Finding the Third Proportional to 324 and 364
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Solution
The third proportional to 324 and 364 is: 408.94
Step by Step Solution
- Step 1: Write the proportion equation
324 : 364 = 364 : x - Step 2: Convert to fraction form
324/364 = 364/x - Step 3: Cross multiply
324x = 364 × 364 - Step 4: Simplify right side
324x = 132,496 - Step 5: Solve for x
x = 132,496/324 - Step 6: Final answer
x = 408.94
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.