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Finding the Third Proportional to 86,278 and 184,550

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Solution

The third proportional to 86,278 and 184,550 is: 394,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,278 : 184,550 = 184,550 : x
  2. Step 2: Convert to fraction form
    86,278/184,550 = 184,550/x
  3. Step 3: Cross multiply
    86,278x = 184,550 × 184,550
  4. Step 4: Simplify right side
    86,278x = 34,058,702,500
  5. Step 5: Solve for x
    x = 34,058,702,500/86,278
  6. Step 6: Final answer
    x = 394,755.35

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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.