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Finding the Third Proportional to 86,546 and 184,252

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Solution

The third proportional to 86,546 and 184,252 is: 392,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,546 : 184,252 = 184,252 : x
  2. Step 2: Convert to fraction form
    86,546/184,252 = 184,252/x
  3. Step 3: Cross multiply
    86,546x = 184,252 × 184,252
  4. Step 4: Simplify right side
    86,546x = 33,948,799,504
  5. Step 5: Solve for x
    x = 33,948,799,504/86,546
  6. Step 6: Final answer
    x = 392,263.07

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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.