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Finding the Third Proportional to 187,904 and 394,270

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Solution

The third proportional to 187,904 and 394,270 is: 827,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,904 : 394,270 = 394,270 : x
  2. Step 2: Convert to fraction form
    187,904/394,270 = 394,270/x
  3. Step 3: Cross multiply
    187,904x = 394,270 × 394,270
  4. Step 4: Simplify right side
    187,904x = 155,448,832,900
  5. Step 5: Solve for x
    x = 155,448,832,900/187,904
  6. Step 6: Final answer
    x = 827,277.93

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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.