Finding the Third Proportional to 136,320 and 206,929.50
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Solution
The third proportional to 136,320 and 206,929.50 is: 314,112.51
Step by Step Solution
- Step 1: Write the proportion equation
136,320 : 206,929.50 = 206,929.50 : x - Step 2: Convert to fraction form
136,320/206,929.50 = 206,929.50/x - Step 3: Cross multiply
136,320x = 206,929.50 × 206,929.50 - Step 4: Simplify right side
136,320x = 42,819,817,970.25 - Step 5: Solve for x
x = 42,819,817,970.25/136,320 - Step 6: Final answer
x = 314,112.51
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.