Finding the Third Proportional to 130,009 and 199,744
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Solution
The third proportional to 130,009 and 199,744 is: 306,883.87
Step by Step Solution
- Step 1: Write the proportion equation
130,009 : 199,744 = 199,744 : x - Step 2: Convert to fraction form
130,009/199,744 = 199,744/x - Step 3: Cross multiply
130,009x = 199,744 × 199,744 - Step 4: Simplify right side
130,009x = 39,897,665,536 - Step 5: Solve for x
x = 39,897,665,536/130,009 - Step 6: Final answer
x = 306,883.87
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.