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Finding the Third Proportional to 166,270 and 254,994

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Solution

The third proportional to 166,270 and 254,994 is: 391,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,270 : 254,994 = 254,994 : x
  2. Step 2: Convert to fraction form
    166,270/254,994 = 254,994/x
  3. Step 3: Cross multiply
    166,270x = 254,994 × 254,994
  4. Step 4: Simplify right side
    166,270x = 65,021,940,036
  5. Step 5: Solve for x
    x = 65,021,940,036/166,270
  6. Step 6: Final answer
    x = 391,062.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.