Finding the Third Proportional to 152,338 and 334,214
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Solution
The third proportional to 152,338 and 334,214 is: 733,231.35
Step by Step Solution
- Step 1: Write the proportion equation
152,338 : 334,214 = 334,214 : x - Step 2: Convert to fraction form
152,338/334,214 = 334,214/x - Step 3: Cross multiply
152,338x = 334,214 × 334,214 - Step 4: Simplify right side
152,338x = 111,698,997,796 - Step 5: Solve for x
x = 111,698,997,796/152,338 - Step 6: Final answer
x = 733,231.35
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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.