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Finding the Third Proportional to 187,600 and 268,250

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Solution

The third proportional to 187,600 and 268,250 is: 383,571.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,600 : 268,250 = 268,250 : x
  2. Step 2: Convert to fraction form
    187,600/268,250 = 268,250/x
  3. Step 3: Cross multiply
    187,600x = 268,250 × 268,250
  4. Step 4: Simplify right side
    187,600x = 71,958,062,500
  5. Step 5: Solve for x
    x = 71,958,062,500/187,600
  6. Step 6: Final answer
    x = 383,571.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.