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Finding the Third Proportional to 84,790 and 184,160

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Solution

The third proportional to 84,790 and 184,160 is: 399,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,790 : 184,160 = 184,160 : x
  2. Step 2: Convert to fraction form
    84,790/184,160 = 184,160/x
  3. Step 3: Cross multiply
    84,790x = 184,160 × 184,160
  4. Step 4: Simplify right side
    84,790x = 33,914,905,600
  5. Step 5: Solve for x
    x = 33,914,905,600/84,790
  6. Step 6: Final answer
    x = 399,987.09

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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.