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Finding the Third Proportional to 204,144 and 300,168

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Solution

The third proportional to 204,144 and 300,168 is: 441,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,144 : 300,168 = 300,168 : x
  2. Step 2: Convert to fraction form
    204,144/300,168 = 300,168/x
  3. Step 3: Cross multiply
    204,144x = 300,168 × 300,168
  4. Step 4: Simplify right side
    204,144x = 90,100,828,224
  5. Step 5: Solve for x
    x = 90,100,828,224/204,144
  6. Step 6: Final answer
    x = 441,359.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.