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Finding the Third Proportional to 111,190 and 166,477

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Solution

The third proportional to 111,190 and 166,477 is: 249,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,190 : 166,477 = 166,477 : x
  2. Step 2: Convert to fraction form
    111,190/166,477 = 166,477/x
  3. Step 3: Cross multiply
    111,190x = 166,477 × 166,477
  4. Step 4: Simplify right side
    111,190x = 27,714,591,529
  5. Step 5: Solve for x
    x = 27,714,591,529/111,190
  6. Step 6: Final answer
    x = 249,254.35

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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.