Finding the Third Proportional to 189,355.50 and 284,520
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Solution
The third proportional to 189,355.50 and 284,520 is: 427,511.38
Step by Step Solution
- Step 1: Write the proportion equation
189,355.50 : 284,520 = 284,520 : x - Step 2: Convert to fraction form
189,355.50/284,520 = 284,520/x - Step 3: Cross multiply
189,355.50x = 284,520 × 284,520 - Step 4: Simplify right side
189,355.50x = 80,951,630,400 - Step 5: Solve for x
x = 80,951,630,400/189,355.50 - Step 6: Final answer
x = 427,511.38
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.