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Finding the Third Proportional to 195,984.56 and 296,682.75

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Solution

The third proportional to 195,984.56 and 296,682.75 is: 449,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,984.56 : 296,682.75 = 296,682.75 : x
  2. Step 2: Convert to fraction form
    195,984.56/296,682.75 = 296,682.75/x
  3. Step 3: Cross multiply
    195,984.56x = 296,682.75 × 296,682.75
  4. Step 4: Simplify right side
    195,984.56x = 88,020,654,147.56
  5. Step 5: Solve for x
    x = 88,020,654,147.56/195,984.56
  6. Step 6: Final answer
    x = 449,120.34

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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.