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Finding the Third Proportional to 166,272 and 254,997

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Solution

The third proportional to 166,272 and 254,997 is: 391,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,272 : 254,997 = 254,997 : x
  2. Step 2: Convert to fraction form
    166,272/254,997 = 254,997/x
  3. Step 3: Cross multiply
    166,272x = 254,997 × 254,997
  4. Step 4: Simplify right side
    166,272x = 65,023,470,009
  5. Step 5: Solve for x
    x = 65,023,470,009/166,272
  6. Step 6: Final answer
    x = 391,066.87

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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.