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Finding the Third Proportional to 111,298 and 166,915

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Solution

The third proportional to 111,298 and 166,915 is: 250,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,298 : 166,915 = 166,915 : x
  2. Step 2: Convert to fraction form
    111,298/166,915 = 166,915/x
  3. Step 3: Cross multiply
    111,298x = 166,915 × 166,915
  4. Step 4: Simplify right side
    111,298x = 27,860,617,225
  5. Step 5: Solve for x
    x = 27,860,617,225/111,298
  6. Step 6: Final answer
    x = 250,324.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.