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Finding the Third Proportional to 180,252 and 274,266

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Solution

The third proportional to 180,252 and 274,266 is: 417,314.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,252 : 274,266 = 274,266 : x
  2. Step 2: Convert to fraction form
    180,252/274,266 = 274,266/x
  3. Step 3: Cross multiply
    180,252x = 274,266 × 274,266
  4. Step 4: Simplify right side
    180,252x = 75,221,838,756
  5. Step 5: Solve for x
    x = 75,221,838,756/180,252
  6. Step 6: Final answer
    x = 417,314.86

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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.