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Finding the Third Proportional to 84,828 and 184,272

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Solution

The third proportional to 84,828 and 184,272 is: 400,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,828 : 184,272 = 184,272 : x
  2. Step 2: Convert to fraction form
    84,828/184,272 = 184,272/x
  3. Step 3: Cross multiply
    84,828x = 184,272 × 184,272
  4. Step 4: Simplify right side
    84,828x = 33,956,169,984
  5. Step 5: Solve for x
    x = 33,956,169,984/84,828
  6. Step 6: Final answer
    x = 400,294.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.