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Finding the Third Proportional to 84,733 and 184,221

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Solution

The third proportional to 84,733 and 184,221 is: 400,521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,733 : 184,221 = 184,221 : x
  2. Step 2: Convert to fraction form
    84,733/184,221 = 184,221/x
  3. Step 3: Cross multiply
    84,733x = 184,221 × 184,221
  4. Step 4: Simplify right side
    84,733x = 33,937,376,841
  5. Step 5: Solve for x
    x = 33,937,376,841/84,733
  6. Step 6: Final answer
    x = 400,521.37

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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.