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Finding the Third Proportional to 84,564 and 184,194

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Solution

The third proportional to 84,564 and 184,194 is: 401,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,564 : 184,194 = 184,194 : x
  2. Step 2: Convert to fraction form
    84,564/184,194 = 184,194/x
  3. Step 3: Cross multiply
    84,564x = 184,194 × 184,194
  4. Step 4: Simplify right side
    84,564x = 33,927,429,636
  5. Step 5: Solve for x
    x = 33,927,429,636/84,564
  6. Step 6: Final answer
    x = 401,204.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.