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Finding the Third Proportional to 164,964.75 and 255,028.22

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Solution

The third proportional to 164,964.75 and 255,028.22 is: 394,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,964.75 : 255,028.22 = 255,028.22 : x
  2. Step 2: Convert to fraction form
    164,964.75/255,028.22 = 255,028.22/x
  3. Step 3: Cross multiply
    164,964.75x = 255,028.22 × 255,028.22
  4. Step 4: Simplify right side
    164,964.75x = 65,039,392,358.80
  5. Step 5: Solve for x
    x = 65,039,392,358.80/164,964.75
  6. Step 6: Final answer
    x = 394,262.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.