Finding the Third Proportional to 205.50 and 237.50
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Solution
The third proportional to 205.50 and 237.50 is: 274.48
Step by Step Solution
- Step 1: Write the proportion equation
205.50 : 237.50 = 237.50 : x - Step 2: Convert to fraction form
205.50/237.50 = 237.50/x - Step 3: Cross multiply
205.50x = 237.50 × 237.50 - Step 4: Simplify right side
205.50x = 56,406.25 - Step 5: Solve for x
x = 56,406.25/205.50 - Step 6: Final answer
x = 274.48
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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.