Finding the Third Proportional to 107,167.50 and 232,785
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Solution
The third proportional to 107,167.50 and 232,785 is: 505,646.36
Step by Step Solution
- Step 1: Write the proportion equation
107,167.50 : 232,785 = 232,785 : x - Step 2: Convert to fraction form
107,167.50/232,785 = 232,785/x - Step 3: Cross multiply
107,167.50x = 232,785 × 232,785 - Step 4: Simplify right side
107,167.50x = 54,188,856,225 - Step 5: Solve for x
x = 54,188,856,225/107,167.50 - Step 6: Final answer
x = 505,646.36
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.