Finding the Third Proportional to 105,176 and 230,764
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Solution
The third proportional to 105,176 and 230,764 is: 506,313.45
Step by Step Solution
- Step 1: Write the proportion equation
105,176 : 230,764 = 230,764 : x - Step 2: Convert to fraction form
105,176/230,764 = 230,764/x - Step 3: Cross multiply
105,176x = 230,764 × 230,764 - Step 4: Simplify right side
105,176x = 53,252,023,696 - Step 5: Solve for x
x = 53,252,023,696/105,176 - Step 6: Final answer
x = 506,313.45
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.