Finding the Third Proportional to 194,128 and 289,896
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Solution
The third proportional to 194,128 and 289,896 is: 432,908.65
Step by Step Solution
- Step 1: Write the proportion equation
194,128 : 289,896 = 289,896 : x - Step 2: Convert to fraction form
194,128/289,896 = 289,896/x - Step 3: Cross multiply
194,128x = 289,896 × 289,896 - Step 4: Simplify right side
194,128x = 84,039,690,816 - Step 5: Solve for x
x = 84,039,690,816/194,128 - Step 6: Final answer
x = 432,908.65
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.