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Finding the Third Proportional to 185,967 and 381,735

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Solution

The third proportional to 185,967 and 381,735 is: 783,588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,967 : 381,735 = 381,735 : x
  2. Step 2: Convert to fraction form
    185,967/381,735 = 381,735/x
  3. Step 3: Cross multiply
    185,967x = 381,735 × 381,735
  4. Step 4: Simplify right side
    185,967x = 145,721,610,225
  5. Step 5: Solve for x
    x = 145,721,610,225/185,967
  6. Step 6: Final answer
    x = 783,588.54

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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.