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Finding the Third Proportional to 179,532.50 and 273,029

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Solution

The third proportional to 179,532.50 and 273,029 is: 415,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,532.50 : 273,029 = 273,029 : x
  2. Step 2: Convert to fraction form
    179,532.50/273,029 = 273,029/x
  3. Step 3: Cross multiply
    179,532.50x = 273,029 × 273,029
  4. Step 4: Simplify right side
    179,532.50x = 74,544,834,841
  5. Step 5: Solve for x
    x = 74,544,834,841/179,532.50
  6. Step 6: Final answer
    x = 415,216.38

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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.