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Finding the Third Proportional to 76,734 and 166,344

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Solution

The third proportional to 76,734 and 166,344 is: 360,600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,734 : 166,344 = 166,344 : x
  2. Step 2: Convert to fraction form
    76,734/166,344 = 166,344/x
  3. Step 3: Cross multiply
    76,734x = 166,344 × 166,344
  4. Step 4: Simplify right side
    76,734x = 27,670,326,336
  5. Step 5: Solve for x
    x = 27,670,326,336/76,734
  6. Step 6: Final answer
    x = 360,600.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.