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Finding the Third Proportional to 79,447 and 164,393

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Solution

The third proportional to 79,447 and 164,393 is: 340,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,447 : 164,393 = 164,393 : x
  2. Step 2: Convert to fraction form
    79,447/164,393 = 164,393/x
  3. Step 3: Cross multiply
    79,447x = 164,393 × 164,393
  4. Step 4: Simplify right side
    79,447x = 27,025,058,449
  5. Step 5: Solve for x
    x = 27,025,058,449/79,447
  6. Step 6: Final answer
    x = 340,164.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.