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Finding the Third Proportional to 80,828 and 175,480

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Solution

The third proportional to 80,828 and 175,480 is: 380,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,828 : 175,480 = 175,480 : x
  2. Step 2: Convert to fraction form
    80,828/175,480 = 175,480/x
  3. Step 3: Cross multiply
    80,828x = 175,480 × 175,480
  4. Step 4: Simplify right side
    80,828x = 30,793,230,400
  5. Step 5: Solve for x
    x = 30,793,230,400/80,828
  6. Step 6: Final answer
    x = 380,972.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.