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Finding the Third Proportional to 169,568.44 and 269,919.84

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Solution

The third proportional to 169,568.44 and 269,919.84 is: 429,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,568.44 : 269,919.84 = 269,919.84 : x
  2. Step 2: Convert to fraction form
    169,568.44/269,919.84 = 269,919.84/x
  3. Step 3: Cross multiply
    169,568.44x = 269,919.84 × 269,919.84
  4. Step 4: Simplify right side
    169,568.44x = 72,856,722,050.02
  5. Step 5: Solve for x
    x = 72,856,722,050.02/169,568.44
  6. Step 6: Final answer
    x = 429,659.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.