Finding the Third Proportional to 212,764 and 315,038
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Solution
The third proportional to 212,764 and 315,038 is: 466,474.32
Step by Step Solution
- Step 1: Write the proportion equation
212,764 : 315,038 = 315,038 : x - Step 2: Convert to fraction form
212,764/315,038 = 315,038/x - Step 3: Cross multiply
212,764x = 315,038 × 315,038 - Step 4: Simplify right side
212,764x = 99,248,941,444 - Step 5: Solve for x
x = 99,248,941,444/212,764 - Step 6: Final answer
x = 466,474.32
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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.