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Finding the Third Proportional to 168,608 and 352,804

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Solution

The third proportional to 168,608 and 352,804 is: 738,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,608 : 352,804 = 352,804 : x
  2. Step 2: Convert to fraction form
    168,608/352,804 = 352,804/x
  3. Step 3: Cross multiply
    168,608x = 352,804 × 352,804
  4. Step 4: Simplify right side
    168,608x = 124,470,662,416
  5. Step 5: Solve for x
    x = 124,470,662,416/168,608
  6. Step 6: Final answer
    x = 738,225.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.