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Finding the Third Proportional to 85,623 and 184,422

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Solution

The third proportional to 85,623 and 184,422 is: 397,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,623 : 184,422 = 184,422 : x
  2. Step 2: Convert to fraction form
    85,623/184,422 = 184,422/x
  3. Step 3: Cross multiply
    85,623x = 184,422 × 184,422
  4. Step 4: Simplify right side
    85,623x = 34,011,474,084
  5. Step 5: Solve for x
    x = 34,011,474,084/85,623
  6. Step 6: Final answer
    x = 397,223.57

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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.