Finding the Third Proportional to 277.50 and 400.50
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Solution
The third proportional to 277.50 and 400.50 is: 578.02
Step by Step Solution
- Step 1: Write the proportion equation
277.50 : 400.50 = 400.50 : x - Step 2: Convert to fraction form
277.50/400.50 = 400.50/x - Step 3: Cross multiply
277.50x = 400.50 × 400.50 - Step 4: Simplify right side
277.50x = 160,400.25 - Step 5: Solve for x
x = 160,400.25/277.50 - Step 6: Final answer
x = 578.02
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.