Finding the Third Proportional to 135,470 and 201,242.25
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Solution
The third proportional to 135,470 and 201,242.25 is: 298,947.69
Step by Step Solution
- Step 1: Write the proportion equation
135,470 : 201,242.25 = 201,242.25 : x - Step 2: Convert to fraction form
135,470/201,242.25 = 201,242.25/x - Step 3: Cross multiply
135,470x = 201,242.25 × 201,242.25 - Step 4: Simplify right side
135,470x = 40,498,443,185.06 - Step 5: Solve for x
x = 40,498,443,185.06/135,470 - Step 6: Final answer
x = 298,947.69
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.