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Finding the Third Proportional to 79,673 and 174,898

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Solution

The third proportional to 79,673 and 174,898 is: 383,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,673 : 174,898 = 174,898 : x
  2. Step 2: Convert to fraction form
    79,673/174,898 = 174,898/x
  3. Step 3: Cross multiply
    79,673x = 174,898 × 174,898
  4. Step 4: Simplify right side
    79,673x = 30,589,310,404
  5. Step 5: Solve for x
    x = 30,589,310,404/79,673
  6. Step 6: Final answer
    x = 383,935.72

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