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Finding the Third Proportional to 166,824 and 367,708

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Solution

The third proportional to 166,824 and 367,708 is: 810,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,824 : 367,708 = 367,708 : x
  2. Step 2: Convert to fraction form
    166,824/367,708 = 367,708/x
  3. Step 3: Cross multiply
    166,824x = 367,708 × 367,708
  4. Step 4: Simplify right side
    166,824x = 135,209,173,264
  5. Step 5: Solve for x
    x = 135,209,173,264/166,824
  6. Step 6: Final answer
    x = 810,489.94

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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.