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Finding the Third Proportional to 174,826 and 370,568

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Solution

The third proportional to 174,826 and 370,568 is: 785,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,826 : 370,568 = 370,568 : x
  2. Step 2: Convert to fraction form
    174,826/370,568 = 370,568/x
  3. Step 3: Cross multiply
    174,826x = 370,568 × 370,568
  4. Step 4: Simplify right side
    174,826x = 137,320,642,624
  5. Step 5: Solve for x
    x = 137,320,642,624/174,826
  6. Step 6: Final answer
    x = 785,470.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.