Finding the Third Proportional to 202,023.19 and 301,283.06
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Solution
The third proportional to 202,023.19 and 301,283.06 is: 449,312.20
Step by Step Solution
- Step 1: Write the proportion equation
202,023.19 : 301,283.06 = 301,283.06 : x - Step 2: Convert to fraction form
202,023.19/301,283.06 = 301,283.06/x - Step 3: Cross multiply
202,023.19x = 301,283.06 × 301,283.06 - Step 4: Simplify right side
202,023.19x = 90,771,483,749.38 - Step 5: Solve for x
x = 90,771,483,749.38/202,023.19 - Step 6: Final answer
x = 449,312.20
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.