Finding the Third Proportional to 230,102 and 502,042
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Solution
The third proportional to 230,102 and 502,042 is: 1,095,367.14
Step by Step Solution
- Step 1: Write the proportion equation
230,102 : 502,042 = 502,042 : x - Step 2: Convert to fraction form
230,102/502,042 = 502,042/x - Step 3: Cross multiply
230,102x = 502,042 × 502,042 - Step 4: Simplify right side
230,102x = 252,046,169,764 - Step 5: Solve for x
x = 252,046,169,764/230,102 - Step 6: Final answer
x = 1,095,367.14
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.