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Finding the Third Proportional to 127,341 and 274,851

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Solution

The third proportional to 127,341 and 274,851 is: 593,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,341 : 274,851 = 274,851 : x
  2. Step 2: Convert to fraction form
    127,341/274,851 = 274,851/x
  3. Step 3: Cross multiply
    127,341x = 274,851 × 274,851
  4. Step 4: Simplify right side
    127,341x = 75,543,072,201
  5. Step 5: Solve for x
    x = 75,543,072,201/127,341
  6. Step 6: Final answer
    x = 593,234.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.