Finding the Third Proportional to 284.50 and 336.50
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Solution
The third proportional to 284.50 and 336.50 is: 398.00
Step by Step Solution
- Step 1: Write the proportion equation
284.50 : 336.50 = 336.50 : x - Step 2: Convert to fraction form
284.50/336.50 = 336.50/x - Step 3: Cross multiply
284.50x = 336.50 × 336.50 - Step 4: Simplify right side
284.50x = 113,232.25 - Step 5: Solve for x
x = 113,232.25/284.50 - Step 6: Final answer
x = 398.00
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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.