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Finding the Third Proportional to 168,171.75 and 245,781.56

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Solution

The third proportional to 168,171.75 and 245,781.56 is: 359,207.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,171.75 : 245,781.56 = 245,781.56 : x
  2. Step 2: Convert to fraction form
    168,171.75/245,781.56 = 245,781.56/x
  3. Step 3: Cross multiply
    168,171.75x = 245,781.56 × 245,781.56
  4. Step 4: Simplify right side
    168,171.75x = 60,408,576,464.94
  5. Step 5: Solve for x
    x = 60,408,576,464.94/168,171.75
  6. Step 6: Final answer
    x = 359,207.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.