Finding the Third Proportional to 166,302 and 261,069
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Solution
The third proportional to 166,302 and 261,069 is: 409,838.86
Step by Step Solution
- Step 1: Write the proportion equation
166,302 : 261,069 = 261,069 : x - Step 2: Convert to fraction form
166,302/261,069 = 261,069/x - Step 3: Cross multiply
166,302x = 261,069 × 261,069 - Step 4: Simplify right side
166,302x = 68,157,022,761 - Step 5: Solve for x
x = 68,157,022,761/166,302 - Step 6: Final answer
x = 409,838.86
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.