Finding the Third Proportional to 212,741.50 and 314,907
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Solution
The third proportional to 212,741.50 and 314,907 is: 466,135.75
Step by Step Solution
- Step 1: Write the proportion equation
212,741.50 : 314,907 = 314,907 : x - Step 2: Convert to fraction form
212,741.50/314,907 = 314,907/x - Step 3: Cross multiply
212,741.50x = 314,907 × 314,907 - Step 4: Simplify right side
212,741.50x = 99,166,418,649 - Step 5: Solve for x
x = 99,166,418,649/212,741.50 - Step 6: Final answer
x = 466,135.75
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Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.