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Finding the Third Proportional to 166,174 and 365,575

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Solution

The third proportional to 166,174 and 365,575 is: 804,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,174 : 365,575 = 365,575 : x
  2. Step 2: Convert to fraction form
    166,174/365,575 = 365,575/x
  3. Step 3: Cross multiply
    166,174x = 365,575 × 365,575
  4. Step 4: Simplify right side
    166,174x = 133,645,080,625
  5. Step 5: Solve for x
    x = 133,645,080,625/166,174
  6. Step 6: Final answer
    x = 804,247.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.