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Finding the Third Proportional to 203,937.75 and 340,989.75

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Solution

The third proportional to 203,937.75 and 340,989.75 is: 570,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,937.75 : 340,989.75 = 340,989.75 : x
  2. Step 2: Convert to fraction form
    203,937.75/340,989.75 = 340,989.75/x
  3. Step 3: Cross multiply
    203,937.75x = 340,989.75 × 340,989.75
  4. Step 4: Simplify right side
    203,937.75x = 116,274,009,605.06
  5. Step 5: Solve for x
    x = 116,274,009,605.06/203,937.75
  6. Step 6: Final answer
    x = 570,144.61

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.