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Finding the Third Proportional to 232,692.75 and 335,499.75

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Solution

The third proportional to 232,692.75 and 335,499.75 is: 483,728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,692.75 : 335,499.75 = 335,499.75 : x
  2. Step 2: Convert to fraction form
    232,692.75/335,499.75 = 335,499.75/x
  3. Step 3: Cross multiply
    232,692.75x = 335,499.75 × 335,499.75
  4. Step 4: Simplify right side
    232,692.75x = 112,560,082,250.06
  5. Step 5: Solve for x
    x = 112,560,082,250.06/232,692.75
  6. Step 6: Final answer
    x = 483,728.36

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.