Finding the Third Proportional to 158,584.50 and 231,923.25
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Solution
The third proportional to 158,584.50 and 231,923.25 is: 339,178.13
Step by Step Solution
- Step 1: Write the proportion equation
158,584.50 : 231,923.25 = 231,923.25 : x - Step 2: Convert to fraction form
158,584.50/231,923.25 = 231,923.25/x - Step 3: Cross multiply
158,584.50x = 231,923.25 × 231,923.25 - Step 4: Simplify right side
158,584.50x = 53,788,393,890.56 - Step 5: Solve for x
x = 53,788,393,890.56/158,584.50 - Step 6: Final answer
x = 339,178.13
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.