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Finding the Third Proportional to 159,639.75 and 343,496.25

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Solution

The third proportional to 159,639.75 and 343,496.25 is: 739,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,639.75 : 343,496.25 = 343,496.25 : x
  2. Step 2: Convert to fraction form
    159,639.75/343,496.25 = 343,496.25/x
  3. Step 3: Cross multiply
    159,639.75x = 343,496.25 × 343,496.25
  4. Step 4: Simplify right side
    159,639.75x = 117,989,673,764.06
  5. Step 5: Solve for x
    x = 117,989,673,764.06/159,639.75
  6. Step 6: Final answer
    x = 739,099.59

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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.