Finding the Third Proportional to 105,415.50 and 231,340
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Solution
The third proportional to 105,415.50 and 231,340 is: 507,688.11
Step by Step Solution
- Step 1: Write the proportion equation
105,415.50 : 231,340 = 231,340 : x - Step 2: Convert to fraction form
105,415.50/231,340 = 231,340/x - Step 3: Cross multiply
105,415.50x = 231,340 × 231,340 - Step 4: Simplify right side
105,415.50x = 53,518,195,600 - Step 5: Solve for x
x = 53,518,195,600/105,415.50 - Step 6: Final answer
x = 507,688.11
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.