Finding the Third Proportional to 120,576.75 and 264,474.75
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Solution
The third proportional to 120,576.75 and 264,474.75 is: 580,102.66
Step by Step Solution
- Step 1: Write the proportion equation
120,576.75 : 264,474.75 = 264,474.75 : x - Step 2: Convert to fraction form
120,576.75/264,474.75 = 264,474.75/x - Step 3: Cross multiply
120,576.75x = 264,474.75 × 264,474.75 - Step 4: Simplify right side
120,576.75x = 69,946,893,387.56 - Step 5: Solve for x
x = 69,946,893,387.56/120,576.75 - Step 6: Final answer
x = 580,102.66
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.