Finding the Third Proportional to 105,963.50 and 230,152
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Solution
The third proportional to 105,963.50 and 230,152 is: 499,888.58
Step by Step Solution
- Step 1: Write the proportion equation
105,963.50 : 230,152 = 230,152 : x - Step 2: Convert to fraction form
105,963.50/230,152 = 230,152/x - Step 3: Cross multiply
105,963.50x = 230,152 × 230,152 - Step 4: Simplify right side
105,963.50x = 52,969,943,104 - Step 5: Solve for x
x = 52,969,943,104/105,963.50 - Step 6: Final answer
x = 499,888.58
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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.