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Finding the Third Proportional to 179,983.69 and 273,620.53

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Solution

The third proportional to 179,983.69 and 273,620.53 is: 415,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,983.69 : 273,620.53 = 273,620.53 : x
  2. Step 2: Convert to fraction form
    179,983.69/273,620.53 = 273,620.53/x
  3. Step 3: Cross multiply
    179,983.69x = 273,620.53 × 273,620.53
  4. Step 4: Simplify right side
    179,983.69x = 74,868,195,121.53
  5. Step 5: Solve for x
    x = 74,868,195,121.53/179,983.69
  6. Step 6: Final answer
    x = 415,972.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.