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Finding the Third Proportional to 84,795 and 184,353

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Solution

The third proportional to 84,795 and 184,353 is: 400,802.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,795 : 184,353 = 184,353 : x
  2. Step 2: Convert to fraction form
    84,795/184,353 = 184,353/x
  3. Step 3: Cross multiply
    84,795x = 184,353 × 184,353
  4. Step 4: Simplify right side
    84,795x = 33,986,028,609
  5. Step 5: Solve for x
    x = 33,986,028,609/84,795
  6. Step 6: Final answer
    x = 400,802.27

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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.