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Finding the Third Proportional to 84,798 and 184,174

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Solution

The third proportional to 84,798 and 184,174 is: 400,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,798 : 184,174 = 184,174 : x
  2. Step 2: Convert to fraction form
    84,798/184,174 = 184,174/x
  3. Step 3: Cross multiply
    84,798x = 184,174 × 184,174
  4. Step 4: Simplify right side
    84,798x = 33,920,062,276
  5. Step 5: Solve for x
    x = 33,920,062,276/84,798
  6. Step 6: Final answer
    x = 400,010.17

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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.