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Finding the Third Proportional to 85,890 and 184,476

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Solution

The third proportional to 85,890 and 184,476 is: 396,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,890 : 184,476 = 184,476 : x
  2. Step 2: Convert to fraction form
    85,890/184,476 = 184,476/x
  3. Step 3: Cross multiply
    85,890x = 184,476 × 184,476
  4. Step 4: Simplify right side
    85,890x = 34,031,394,576
  5. Step 5: Solve for x
    x = 34,031,394,576/85,890
  6. Step 6: Final answer
    x = 396,220.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.