Finding the Third Proportional to 312.75 and 499.50
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Solution
The third proportional to 312.75 and 499.50 is: 797.76
Step by Step Solution
- Step 1: Write the proportion equation
312.75 : 499.50 = 499.50 : x - Step 2: Convert to fraction form
312.75/499.50 = 499.50/x - Step 3: Cross multiply
312.75x = 499.50 × 499.50 - Step 4: Simplify right side
312.75x = 249,500.25 - Step 5: Solve for x
x = 249,500.25/312.75 - Step 6: Final answer
x = 797.76
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.