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Finding the Third Proportional to 84,844 and 167,546

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Solution

The third proportional to 84,844 and 167,546 is: 330,862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,844 : 167,546 = 167,546 : x
  2. Step 2: Convert to fraction form
    84,844/167,546 = 167,546/x
  3. Step 3: Cross multiply
    84,844x = 167,546 × 167,546
  4. Step 4: Simplify right side
    84,844x = 28,071,662,116
  5. Step 5: Solve for x
    x = 28,071,662,116/84,844
  6. Step 6: Final answer
    x = 330,862.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.