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Finding the Third Proportional to 86,634 and 184,200

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Solution

The third proportional to 86,634 and 184,200 is: 391,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,634 : 184,200 = 184,200 : x
  2. Step 2: Convert to fraction form
    86,634/184,200 = 184,200/x
  3. Step 3: Cross multiply
    86,634x = 184,200 × 184,200
  4. Step 4: Simplify right side
    86,634x = 33,929,640,000
  5. Step 5: Solve for x
    x = 33,929,640,000/86,634
  6. Step 6: Final answer
    x = 391,643.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.