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Finding the Third Proportional to 159,367.50 and 343,325

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Solution

The third proportional to 159,367.50 and 343,325 is: 739,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,367.50 : 343,325 = 343,325 : x
  2. Step 2: Convert to fraction form
    159,367.50/343,325 = 343,325/x
  3. Step 3: Cross multiply
    159,367.50x = 343,325 × 343,325
  4. Step 4: Simplify right side
    159,367.50x = 117,872,055,625
  5. Step 5: Solve for x
    x = 117,872,055,625/159,367.50
  6. Step 6: Final answer
    x = 739,624.17

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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.