Finding the Third Proportional to 117,463.50 and 229,014
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Solution
The third proportional to 117,463.50 and 229,014 is: 446,499.65
Step by Step Solution
- Step 1: Write the proportion equation
117,463.50 : 229,014 = 229,014 : x - Step 2: Convert to fraction form
117,463.50/229,014 = 229,014/x - Step 3: Cross multiply
117,463.50x = 229,014 × 229,014 - Step 4: Simplify right side
117,463.50x = 52,447,412,196 - Step 5: Solve for x
x = 52,447,412,196/117,463.50 - Step 6: Final answer
x = 446,499.65
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Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.