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Finding the Third Proportional to 166,050 and 259,443

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Solution

The third proportional to 166,050 and 259,443 is: 405,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,050 : 259,443 = 259,443 : x
  2. Step 2: Convert to fraction form
    166,050/259,443 = 259,443/x
  3. Step 3: Cross multiply
    166,050x = 259,443 × 259,443
  4. Step 4: Simplify right side
    166,050x = 67,310,670,249
  5. Step 5: Solve for x
    x = 67,310,670,249/166,050
  6. Step 6: Final answer
    x = 405,363.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.