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Finding the Third Proportional to 166,778 and 367,575

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Solution

The third proportional to 166,778 and 367,575 is: 810,127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,778 : 367,575 = 367,575 : x
  2. Step 2: Convert to fraction form
    166,778/367,575 = 367,575/x
  3. Step 3: Cross multiply
    166,778x = 367,575 × 367,575
  4. Step 4: Simplify right side
    166,778x = 135,111,380,625
  5. Step 5: Solve for x
    x = 135,111,380,625/166,778
  6. Step 6: Final answer
    x = 810,127.12

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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.