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Finding the Third Proportional to 79,450 and 164,399

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Solution

The third proportional to 79,450 and 164,399 is: 340,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,450 : 164,399 = 164,399 : x
  2. Step 2: Convert to fraction form
    79,450/164,399 = 164,399/x
  3. Step 3: Cross multiply
    79,450x = 164,399 × 164,399
  4. Step 4: Simplify right side
    79,450x = 27,027,031,201
  5. Step 5: Solve for x
    x = 27,027,031,201/79,450
  6. Step 6: Final answer
    x = 340,176.60

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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.