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Finding the Third Proportional to 159,990.75 and 343,703.25

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Solution

The third proportional to 159,990.75 and 343,703.25 is: 738,367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,990.75 : 343,703.25 = 343,703.25 : x
  2. Step 2: Convert to fraction form
    159,990.75/343,703.25 = 343,703.25/x
  3. Step 3: Cross multiply
    159,990.75x = 343,703.25 × 343,703.25
  4. Step 4: Simplify right side
    159,990.75x = 118,131,924,060.56
  5. Step 5: Solve for x
    x = 118,131,924,060.56/159,990.75
  6. Step 6: Final answer
    x = 738,367.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.