Finding the Third Proportional to 112,412 and 238,000
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Solution
The third proportional to 112,412 and 238,000 is: 503,896.38
Step by Step Solution
- Step 1: Write the proportion equation
112,412 : 238,000 = 238,000 : x - Step 2: Convert to fraction form
112,412/238,000 = 238,000/x - Step 3: Cross multiply
112,412x = 238,000 × 238,000 - Step 4: Simplify right side
112,412x = 56,644,000,000 - Step 5: Solve for x
x = 56,644,000,000/112,412 - Step 6: Final answer
x = 503,896.38
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.