Finding the Third Proportional to 106,609.50 and 232,008.75
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Solution
The third proportional to 106,609.50 and 232,008.75 is: 504,908.66
Step by Step Solution
- Step 1: Write the proportion equation
106,609.50 : 232,008.75 = 232,008.75 : x - Step 2: Convert to fraction form
106,609.50/232,008.75 = 232,008.75/x - Step 3: Cross multiply
106,609.50x = 232,008.75 × 232,008.75 - Step 4: Simplify right side
106,609.50x = 53,828,060,076.56 - Step 5: Solve for x
x = 53,828,060,076.56/106,609.50 - Step 6: Final answer
x = 504,908.66
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.