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Finding the Third Proportional to 294,168 and 441,168

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Solution

The third proportional to 294,168 and 441,168 is: 661,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,168 : 441,168 = 441,168 : x
  2. Step 2: Convert to fraction form
    294,168/441,168 = 441,168/x
  3. Step 3: Cross multiply
    294,168x = 441,168 × 441,168
  4. Step 4: Simplify right side
    294,168x = 194,629,204,224
  5. Step 5: Solve for x
    x = 194,629,204,224/294,168
  6. Step 6: Final answer
    x = 661,626.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.