Finding the Third Proportional to 402 and 514.50
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Solution
The third proportional to 402 and 514.50 is: 658.48
Step by Step Solution
- Step 1: Write the proportion equation
402 : 514.50 = 514.50 : x - Step 2: Convert to fraction form
402/514.50 = 514.50/x - Step 3: Cross multiply
402x = 514.50 × 514.50 - Step 4: Simplify right side
402x = 264,710.25 - Step 5: Solve for x
x = 264,710.25/402 - Step 6: Final answer
x = 658.48
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.