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Finding the Third Proportional to 86,331 and 184,650

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Solution

The third proportional to 86,331 and 184,650 is: 394,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,331 : 184,650 = 184,650 : x
  2. Step 2: Convert to fraction form
    86,331/184,650 = 184,650/x
  3. Step 3: Cross multiply
    86,331x = 184,650 × 184,650
  4. Step 4: Simplify right side
    86,331x = 34,095,622,500
  5. Step 5: Solve for x
    x = 34,095,622,500/86,331
  6. Step 6: Final answer
    x = 394,940.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.