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Finding the Third Proportional to 168,995 and 359,509

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Solution

The third proportional to 168,995 and 359,509 is: 764,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,995 : 359,509 = 359,509 : x
  2. Step 2: Convert to fraction form
    168,995/359,509 = 359,509/x
  3. Step 3: Cross multiply
    168,995x = 359,509 × 359,509
  4. Step 4: Simplify right side
    168,995x = 129,246,721,081
  5. Step 5: Solve for x
    x = 129,246,721,081/168,995
  6. Step 6: Final answer
    x = 764,796.12

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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.