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Finding the Third Proportional to 187,883.72 and 394,230.38

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Solution

The third proportional to 187,883.72 and 394,230.38 is: 827,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,883.72 : 394,230.38 = 394,230.38 : x
  2. Step 2: Convert to fraction form
    187,883.72/394,230.38 = 394,230.38/x
  3. Step 3: Cross multiply
    187,883.72x = 394,230.38 × 394,230.38
  4. Step 4: Simplify right side
    187,883.72x = 155,417,588,572.64
  5. Step 5: Solve for x
    x = 155,417,588,572.64/187,883.72
  6. Step 6: Final answer
    x = 827,200.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.