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Finding the Third Proportional to 168,993 and 359,505

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Solution

The third proportional to 168,993 and 359,505 is: 764,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,993 : 359,505 = 359,505 : x
  2. Step 2: Convert to fraction form
    168,993/359,505 = 359,505/x
  3. Step 3: Cross multiply
    168,993x = 359,505 × 359,505
  4. Step 4: Simplify right side
    168,993x = 129,243,845,025
  5. Step 5: Solve for x
    x = 129,243,845,025/168,993
  6. Step 6: Final answer
    x = 764,788.16

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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.