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Finding the Third Proportional to 127,676 and 274,306

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Solution

The third proportional to 127,676 and 274,306 is: 589,333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,676 : 274,306 = 274,306 : x
  2. Step 2: Convert to fraction form
    127,676/274,306 = 274,306/x
  3. Step 3: Cross multiply
    127,676x = 274,306 × 274,306
  4. Step 4: Simplify right side
    127,676x = 75,243,781,636
  5. Step 5: Solve for x
    x = 75,243,781,636/127,676
  6. Step 6: Final answer
    x = 589,333.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.