Finding the Third Proportional to 102,967.50 and 225,618
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Solution
The third proportional to 102,967.50 and 225,618 is: 494,364.55
Step by Step Solution
- Step 1: Write the proportion equation
102,967.50 : 225,618 = 225,618 : x - Step 2: Convert to fraction form
102,967.50/225,618 = 225,618/x - Step 3: Cross multiply
102,967.50x = 225,618 × 225,618 - Step 4: Simplify right side
102,967.50x = 50,903,481,924 - Step 5: Solve for x
x = 50,903,481,924/102,967.50 - Step 6: Final answer
x = 494,364.55
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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.