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Finding the Third Proportional to 82,236.75 and 179,323.50

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Solution

The third proportional to 82,236.75 and 179,323.50 is: 391,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,236.75 : 179,323.50 = 179,323.50 : x
  2. Step 2: Convert to fraction form
    82,236.75/179,323.50 = 179,323.50/x
  3. Step 3: Cross multiply
    82,236.75x = 179,323.50 × 179,323.50
  4. Step 4: Simplify right side
    82,236.75x = 32,156,917,652.25
  5. Step 5: Solve for x
    x = 32,156,917,652.25/82,236.75
  6. Step 6: Final answer
    x = 391,028.56

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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.