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Finding the Third Proportional to 76,419 and 167,965.50

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Solution

The third proportional to 76,419 and 167,965.50 is: 369,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,419 : 167,965.50 = 167,965.50 : x
  2. Step 2: Convert to fraction form
    76,419/167,965.50 = 167,965.50/x
  3. Step 3: Cross multiply
    76,419x = 167,965.50 × 167,965.50
  4. Step 4: Simplify right side
    76,419x = 28,212,409,190.25
  5. Step 5: Solve for x
    x = 28,212,409,190.25/76,419
  6. Step 6: Final answer
    x = 369,180.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.