Finding the Third Proportional to 144,106.50 and 230,214
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Solution
The third proportional to 144,106.50 and 230,214 is: 367,773.04
Step by Step Solution
- Step 1: Write the proportion equation
144,106.50 : 230,214 = 230,214 : x - Step 2: Convert to fraction form
144,106.50/230,214 = 230,214/x - Step 3: Cross multiply
144,106.50x = 230,214 × 230,214 - Step 4: Simplify right side
144,106.50x = 52,998,485,796 - Step 5: Solve for x
x = 52,998,485,796/144,106.50 - Step 6: Final answer
x = 367,773.04
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.