Finding the Third Proportional to 105,909.50 and 233,303
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Solution
The third proportional to 105,909.50 and 233,303 is: 513,932.08
Step by Step Solution
- Step 1: Write the proportion equation
105,909.50 : 233,303 = 233,303 : x - Step 2: Convert to fraction form
105,909.50/233,303 = 233,303/x - Step 3: Cross multiply
105,909.50x = 233,303 × 233,303 - Step 4: Simplify right side
105,909.50x = 54,430,289,809 - Step 5: Solve for x
x = 54,430,289,809/105,909.50 - Step 6: Final answer
x = 513,932.08
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.