Finding the Third Proportional to 211,522.50 and 323,982
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Solution
The third proportional to 211,522.50 and 323,982 is: 496,232.49
Step by Step Solution
- Step 1: Write the proportion equation
211,522.50 : 323,982 = 323,982 : x - Step 2: Convert to fraction form
211,522.50/323,982 = 323,982/x - Step 3: Cross multiply
211,522.50x = 323,982 × 323,982 - Step 4: Simplify right side
211,522.50x = 104,964,336,324 - Step 5: Solve for x
x = 104,964,336,324/211,522.50 - Step 6: Final answer
x = 496,232.49
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.