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Finding the Third Proportional to 166,038 and 259,425

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Solution

The third proportional to 166,038 and 259,425 is: 405,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,038 : 259,425 = 259,425 : x
  2. Step 2: Convert to fraction form
    166,038/259,425 = 259,425/x
  3. Step 3: Cross multiply
    166,038x = 259,425 × 259,425
  4. Step 4: Simplify right side
    166,038x = 67,301,330,625
  5. Step 5: Solve for x
    x = 67,301,330,625/166,038
  6. Step 6: Final answer
    x = 405,336.91

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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.