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Finding the Third Proportional to 76,494.38 and 166,323.38

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Solution

The third proportional to 76,494.38 and 166,323.38 is: 361,640.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,494.38 : 166,323.38 = 166,323.38 : x
  2. Step 2: Convert to fraction form
    76,494.38/166,323.38 = 166,323.38/x
  3. Step 3: Cross multiply
    76,494.38x = 166,323.38 × 166,323.38
  4. Step 4: Simplify right side
    76,494.38x = 27,663,465,071.39
  5. Step 5: Solve for x
    x = 27,663,465,071.39/76,494.38
  6. Step 6: Final answer
    x = 361,640.51

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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.