Finding the Third Proportional to 402 and 430
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Solution
The third proportional to 402 and 430 is: 459.95
Step by Step Solution
- Step 1: Write the proportion equation
402 : 430 = 430 : x - Step 2: Convert to fraction form
402/430 = 430/x - Step 3: Cross multiply
402x = 430 × 430 - Step 4: Simplify right side
402x = 184,900 - Step 5: Solve for x
x = 184,900/402 - Step 6: Final answer
x = 459.95
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.