Finding the Third Proportional to 107,086.50 and 235,407
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Solution
The third proportional to 107,086.50 and 235,407 is: 517,492.45
Step by Step Solution
- Step 1: Write the proportion equation
107,086.50 : 235,407 = 235,407 : x - Step 2: Convert to fraction form
107,086.50/235,407 = 235,407/x - Step 3: Cross multiply
107,086.50x = 235,407 × 235,407 - Step 4: Simplify right side
107,086.50x = 55,416,455,649 - Step 5: Solve for x
x = 55,416,455,649/107,086.50 - Step 6: Final answer
x = 517,492.45
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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.