Finding the Third Proportional to 301 and 398.50
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Solution
The third proportional to 301 and 398.50 is: 527.58
Step by Step Solution
- Step 1: Write the proportion equation
301 : 398.50 = 398.50 : x - Step 2: Convert to fraction form
301/398.50 = 398.50/x - Step 3: Cross multiply
301x = 398.50 × 398.50 - Step 4: Simplify right side
301x = 158,802.25 - Step 5: Solve for x
x = 158,802.25/301 - Step 6: Final answer
x = 527.58
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Why These Related Problems?
These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.