Finding the Third Proportional to 106,164.50 and 231,010
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Solution
The third proportional to 106,164.50 and 231,010 is: 502,669.16
Step by Step Solution
- Step 1: Write the proportion equation
106,164.50 : 231,010 = 231,010 : x - Step 2: Convert to fraction form
106,164.50/231,010 = 231,010/x - Step 3: Cross multiply
106,164.50x = 231,010 × 231,010 - Step 4: Simplify right side
106,164.50x = 53,365,620,100 - Step 5: Solve for x
x = 53,365,620,100/106,164.50 - Step 6: Final answer
x = 502,669.16
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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.