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Finding the Third Proportional to 166,084 and 337,080

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Solution

The third proportional to 166,084 and 337,080 is: 684,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,084 : 337,080 = 337,080 : x
  2. Step 2: Convert to fraction form
    166,084/337,080 = 337,080/x
  3. Step 3: Cross multiply
    166,084x = 337,080 × 337,080
  4. Step 4: Simplify right side
    166,084x = 113,622,926,400
  5. Step 5: Solve for x
    x = 113,622,926,400/166,084
  6. Step 6: Final answer
    x = 684,129.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.