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Finding the Third Proportional to 166,734 and 364,080

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Solution

The third proportional to 166,734 and 364,080 is: 795,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,734 : 364,080 = 364,080 : x
  2. Step 2: Convert to fraction form
    166,734/364,080 = 364,080/x
  3. Step 3: Cross multiply
    166,734x = 364,080 × 364,080
  4. Step 4: Simplify right side
    166,734x = 132,554,246,400
  5. Step 5: Solve for x
    x = 132,554,246,400/166,734
  6. Step 6: Final answer
    x = 795,004.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.