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Finding the Third Proportional to 233,700.75 and 381,571.88

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Solution

The third proportional to 233,700.75 and 381,571.88 is: 623,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,700.75 : 381,571.88 = 381,571.88 : x
  2. Step 2: Convert to fraction form
    233,700.75/381,571.88 = 381,571.88/x
  3. Step 3: Cross multiply
    233,700.75x = 381,571.88 × 381,571.88
  4. Step 4: Simplify right side
    233,700.75x = 145,597,095,791.02
  5. Step 5: Solve for x
    x = 145,597,095,791.02/233,700.75
  6. Step 6: Final answer
    x = 623,006.54

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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.