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Finding the Third Proportional to 174,668 and 355,759

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Solution

The third proportional to 174,668 and 355,759 is: 724,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,668 : 355,759 = 355,759 : x
  2. Step 2: Convert to fraction form
    174,668/355,759 = 355,759/x
  3. Step 3: Cross multiply
    174,668x = 355,759 × 355,759
  4. Step 4: Simplify right side
    174,668x = 126,564,466,081
  5. Step 5: Solve for x
    x = 126,564,466,081/174,668
  6. Step 6: Final answer
    x = 724,600.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.