Finding the Third Proportional to 176,212.13 and 283,727.81
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Solution
The third proportional to 176,212.13 and 283,727.81 is: 456,844.11
Step by Step Solution
- Step 1: Write the proportion equation
176,212.13 : 283,727.81 = 283,727.81 : x - Step 2: Convert to fraction form
176,212.13/283,727.81 = 283,727.81/x - Step 3: Cross multiply
176,212.13x = 283,727.81 × 283,727.81 - Step 4: Simplify right side
176,212.13x = 80,501,471,586.04 - Step 5: Solve for x
x = 80,501,471,586.04/176,212.13 - Step 6: Final answer
x = 456,844.11
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.