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Finding the Third Proportional to 128,819 and 274,756

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Solution

The third proportional to 128,819 and 274,756 is: 586,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,819 : 274,756 = 274,756 : x
  2. Step 2: Convert to fraction form
    128,819/274,756 = 274,756/x
  3. Step 3: Cross multiply
    128,819x = 274,756 × 274,756
  4. Step 4: Simplify right side
    128,819x = 75,490,859,536
  5. Step 5: Solve for x
    x = 75,490,859,536/128,819
  6. Step 6: Final answer
    x = 586,022.71

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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.