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Finding the Third Proportional to 187,887.94 and 394,237.13

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Solution

The third proportional to 187,887.94 and 394,237.13 is: 827,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,887.94 : 394,237.13 = 394,237.13 : x
  2. Step 2: Convert to fraction form
    187,887.94/394,237.13 = 394,237.13/x
  3. Step 3: Cross multiply
    187,887.94x = 394,237.13 × 394,237.13
  4. Step 4: Simplify right side
    187,887.94x = 155,422,910,728.27
  5. Step 5: Solve for x
    x = 155,422,910,728.27/187,887.94
  6. Step 6: Final answer
    x = 827,210.69

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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.