Finding the Third Proportional to 106,660.50 and 230,424
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Solution
The third proportional to 106,660.50 and 230,424 is: 497,796.46
Step by Step Solution
- Step 1: Write the proportion equation
106,660.50 : 230,424 = 230,424 : x - Step 2: Convert to fraction form
106,660.50/230,424 = 230,424/x - Step 3: Cross multiply
106,660.50x = 230,424 × 230,424 - Step 4: Simplify right side
106,660.50x = 53,095,219,776 - Step 5: Solve for x
x = 53,095,219,776/106,660.50 - Step 6: Final answer
x = 497,796.46
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.