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Finding the Third Proportional to 204,960 and 310,168

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Solution

The third proportional to 204,960 and 310,168 is: 469,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,960 : 310,168 = 310,168 : x
  2. Step 2: Convert to fraction form
    204,960/310,168 = 310,168/x
  3. Step 3: Cross multiply
    204,960x = 310,168 × 310,168
  4. Step 4: Simplify right side
    204,960x = 96,204,188,224
  5. Step 5: Solve for x
    x = 96,204,188,224/204,960
  6. Step 6: Final answer
    x = 469,380.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.