Finding the Third Proportional to 300 and 541.50
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Solution
The third proportional to 300 and 541.50 is: 977.41
Step by Step Solution
- Step 1: Write the proportion equation
300 : 541.50 = 541.50 : x - Step 2: Convert to fraction form
300/541.50 = 541.50/x - Step 3: Cross multiply
300x = 541.50 × 541.50 - Step 4: Simplify right side
300x = 293,222.25 - Step 5: Solve for x
x = 293,222.25/300 - Step 6: Final answer
x = 977.41
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These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.