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Finding the Third Proportional to 180,221 and 383,734

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Solution

The third proportional to 180,221 and 383,734 is: 817,062.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,221 : 383,734 = 383,734 : x
  2. Step 2: Convert to fraction form
    180,221/383,734 = 383,734/x
  3. Step 3: Cross multiply
    180,221x = 383,734 × 383,734
  4. Step 4: Simplify right side
    180,221x = 147,251,782,756
  5. Step 5: Solve for x
    x = 147,251,782,756/180,221
  6. Step 6: Final answer
    x = 817,062.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.