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Finding the Third Proportional to 176,993 and 280,400

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Solution

The third proportional to 176,993 and 280,400 is: 444,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,993 : 280,400 = 280,400 : x
  2. Step 2: Convert to fraction form
    176,993/280,400 = 280,400/x
  3. Step 3: Cross multiply
    176,993x = 280,400 × 280,400
  4. Step 4: Simplify right side
    176,993x = 78,624,160,000
  5. Step 5: Solve for x
    x = 78,624,160,000/176,993
  6. Step 6: Final answer
    x = 444,221.86

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.