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Finding the Third Proportional to 179,533 and 273,030

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Solution

The third proportional to 179,533 and 273,030 is: 415,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,533 : 273,030 = 273,030 : x
  2. Step 2: Convert to fraction form
    179,533/273,030 = 273,030/x
  3. Step 3: Cross multiply
    179,533x = 273,030 × 273,030
  4. Step 4: Simplify right side
    179,533x = 74,545,380,900
  5. Step 5: Solve for x
    x = 74,545,380,900/179,533
  6. Step 6: Final answer
    x = 415,218.27

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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.