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Finding the Third Proportional to 76,480.88 and 166,743.56

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Solution

The third proportional to 76,480.88 and 166,743.56 is: 363,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,480.88 : 166,743.56 = 166,743.56 : x
  2. Step 2: Convert to fraction form
    76,480.88/166,743.56 = 166,743.56/x
  3. Step 3: Cross multiply
    76,480.88x = 166,743.56 × 166,743.56
  4. Step 4: Simplify right side
    76,480.88x = 27,803,415,635.19
  5. Step 5: Solve for x
    x = 27,803,415,635.19/76,480.88
  6. Step 6: Final answer
    x = 363,534.23

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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.