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Finding the Third Proportional to 166,896 and 251,760

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Solution

The third proportional to 166,896 and 251,760 is: 379,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,896 : 251,760 = 251,760 : x
  2. Step 2: Convert to fraction form
    166,896/251,760 = 251,760/x
  3. Step 3: Cross multiply
    166,896x = 251,760 × 251,760
  4. Step 4: Simplify right side
    166,896x = 63,383,097,600
  5. Step 5: Solve for x
    x = 63,383,097,600/166,896
  6. Step 6: Final answer
    x = 379,776.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.