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Finding the Third Proportional to 174,869 and 313,751

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Solution

The third proportional to 174,869 and 313,751 is: 562,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,869 : 313,751 = 313,751 : x
  2. Step 2: Convert to fraction form
    174,869/313,751 = 313,751/x
  3. Step 3: Cross multiply
    174,869x = 313,751 × 313,751
  4. Step 4: Simplify right side
    174,869x = 98,439,690,001
  5. Step 5: Solve for x
    x = 98,439,690,001/174,869
  6. Step 6: Final answer
    x = 562,933.91

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.