Finding the Third Proportional to 105,004 and 230,422
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Solution
The third proportional to 105,004 and 230,422 is: 505,640.72
Step by Step Solution
- Step 1: Write the proportion equation
105,004 : 230,422 = 230,422 : x - Step 2: Convert to fraction form
105,004/230,422 = 230,422/x - Step 3: Cross multiply
105,004x = 230,422 × 230,422 - Step 4: Simplify right side
105,004x = 53,094,298,084 - Step 5: Solve for x
x = 53,094,298,084/105,004 - Step 6: Final answer
x = 505,640.72
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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.