Finding the Third Proportional to 359.50 and 398.50
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Solution
The third proportional to 359.50 and 398.50 is: 441.73
Step by Step Solution
- Step 1: Write the proportion equation
359.50 : 398.50 = 398.50 : x - Step 2: Convert to fraction form
359.50/398.50 = 398.50/x - Step 3: Cross multiply
359.50x = 398.50 × 398.50 - Step 4: Simplify right side
359.50x = 158,802.25 - Step 5: Solve for x
x = 158,802.25/359.50 - Step 6: Final answer
x = 441.73
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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.