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Finding the Third Proportional to 167,910 and 253,483

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Solution

The third proportional to 167,910 and 253,483 is: 382,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,910 : 253,483 = 253,483 : x
  2. Step 2: Convert to fraction form
    167,910/253,483 = 253,483/x
  3. Step 3: Cross multiply
    167,910x = 253,483 × 253,483
  4. Step 4: Simplify right side
    167,910x = 64,253,631,289
  5. Step 5: Solve for x
    x = 64,253,631,289/167,910
  6. Step 6: Final answer
    x = 382,667.09

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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.