Finding the Third Proportional to 183 and 463
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Solution
The third proportional to 183 and 463 is: 1,171.42
Step by Step Solution
- Step 1: Write the proportion equation
183 : 463 = 463 : x - Step 2: Convert to fraction form
183/463 = 463/x - Step 3: Cross multiply
183x = 463 × 463 - Step 4: Simplify right side
183x = 214,369 - Step 5: Solve for x
x = 214,369/183 - Step 6: Final answer
x = 1,171.42
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Why These Related Problems?
These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.