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Finding the Third Proportional to 195,984 and 294,244

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Solution

The third proportional to 195,984 and 294,244 is: 441,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,984 : 294,244 = 294,244 : x
  2. Step 2: Convert to fraction form
    195,984/294,244 = 294,244/x
  3. Step 3: Cross multiply
    195,984x = 294,244 × 294,244
  4. Step 4: Simplify right side
    195,984x = 86,579,531,536
  5. Step 5: Solve for x
    x = 86,579,531,536/195,984
  6. Step 6: Final answer
    x = 441,768.37

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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.