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Finding the Third Proportional to 184,228 and 381,576

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Solution

The third proportional to 184,228 and 381,576 is: 790,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,228 : 381,576 = 381,576 : x
  2. Step 2: Convert to fraction form
    184,228/381,576 = 381,576/x
  3. Step 3: Cross multiply
    184,228x = 381,576 × 381,576
  4. Step 4: Simplify right side
    184,228x = 145,600,243,776
  5. Step 5: Solve for x
    x = 145,600,243,776/184,228
  6. Step 6: Final answer
    x = 790,326.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.