Finding the Third Proportional to 363 and 429
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Solution
The third proportional to 363 and 429 is: 507
Step by Step Solution
- Step 1: Write the proportion equation
363 : 429 = 429 : x - Step 2: Convert to fraction form
363/429 = 429/x - Step 3: Cross multiply
363x = 429 × 429 - Step 4: Simplify right side
363x = 184,041 - Step 5: Solve for x
x = 184,041/363 - Step 6: Final answer
x = 507
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.