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Finding the Third Proportional to 84,201 and 184,257

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Solution

The third proportional to 84,201 and 184,257 is: 403,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,201 : 184,257 = 184,257 : x
  2. Step 2: Convert to fraction form
    84,201/184,257 = 184,257/x
  3. Step 3: Cross multiply
    84,201x = 184,257 × 184,257
  4. Step 4: Simplify right side
    84,201x = 33,950,642,049
  5. Step 5: Solve for x
    x = 33,950,642,049/84,201
  6. Step 6: Final answer
    x = 403,209.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.