Finding the Third Proportional to 107,140 and 230,404
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Solution
The third proportional to 107,140 and 230,404 is: 495,482.58
Step by Step Solution
- Step 1: Write the proportion equation
107,140 : 230,404 = 230,404 : x - Step 2: Convert to fraction form
107,140/230,404 = 230,404/x - Step 3: Cross multiply
107,140x = 230,404 × 230,404 - Step 4: Simplify right side
107,140x = 53,086,003,216 - Step 5: Solve for x
x = 53,086,003,216/107,140 - Step 6: Final answer
x = 495,482.58
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.