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Finding the Third Proportional to 185,824 and 381,504

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Solution

The third proportional to 185,824 and 381,504 is: 783,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,824 : 381,504 = 381,504 : x
  2. Step 2: Convert to fraction form
    185,824/381,504 = 381,504/x
  3. Step 3: Cross multiply
    185,824x = 381,504 × 381,504
  4. Step 4: Simplify right side
    185,824x = 145,545,302,016
  5. Step 5: Solve for x
    x = 145,545,302,016/185,824
  6. Step 6: Final answer
    x = 783,242.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.