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Finding the Third Proportional to 195,976 and 294,228

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Solution

The third proportional to 195,976 and 294,228 is: 441,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,976 : 294,228 = 294,228 : x
  2. Step 2: Convert to fraction form
    195,976/294,228 = 294,228/x
  3. Step 3: Cross multiply
    195,976x = 294,228 × 294,228
  4. Step 4: Simplify right side
    195,976x = 86,570,115,984
  5. Step 5: Solve for x
    x = 86,570,115,984/195,976
  6. Step 6: Final answer
    x = 441,738.36

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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.