Finding the Third Proportional to 129,846 and 194,253
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Solution
The third proportional to 129,846 and 194,253 is: 290,607.55
Step by Step Solution
- Step 1: Write the proportion equation
129,846 : 194,253 = 194,253 : x - Step 2: Convert to fraction form
129,846/194,253 = 194,253/x - Step 3: Cross multiply
129,846x = 194,253 × 194,253 - Step 4: Simplify right side
129,846x = 37,734,228,009 - Step 5: Solve for x
x = 37,734,228,009/129,846 - Step 6: Final answer
x = 290,607.55
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.