Finding the Third Proportional to 231,840 and 507,960
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Solution
The third proportional to 231,840 and 507,960 is: 1,112,937.20
Step by Step Solution
- Step 1: Write the proportion equation
231,840 : 507,960 = 507,960 : x - Step 2: Convert to fraction form
231,840/507,960 = 507,960/x - Step 3: Cross multiply
231,840x = 507,960 × 507,960 - Step 4: Simplify right side
231,840x = 258,023,361,600 - Step 5: Solve for x
x = 258,023,361,600/231,840 - Step 6: Final answer
x = 1,112,937.20
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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.