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Finding the Third Proportional to 212,640.19 and 332,692.31

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Solution

The third proportional to 212,640.19 and 332,692.31 is: 520,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,640.19 : 332,692.31 = 332,692.31 : x
  2. Step 2: Convert to fraction form
    212,640.19/332,692.31 = 332,692.31/x
  3. Step 3: Cross multiply
    212,640.19x = 332,692.31 × 332,692.31
  4. Step 4: Simplify right side
    212,640.19x = 110,684,174,796.60
  5. Step 5: Solve for x
    x = 110,684,174,796.60/212,640.19
  6. Step 6: Final answer
    x = 520,523.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.