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Finding the Third Proportional to 233,692.88 and 381,561.75

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Solution

The third proportional to 233,692.88 and 381,561.75 is: 622,994.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,692.88 : 381,561.75 = 381,561.75 : x
  2. Step 2: Convert to fraction form
    233,692.88/381,561.75 = 381,561.75/x
  3. Step 3: Cross multiply
    233,692.88x = 381,561.75 × 381,561.75
  4. Step 4: Simplify right side
    233,692.88x = 145,589,369,063.06
  5. Step 5: Solve for x
    x = 145,589,369,063.06/233,692.88
  6. Step 6: Final answer
    x = 622,994.47

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.