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Finding the Third Proportional to 203,968.13 and 323,979.75

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Solution

The third proportional to 203,968.13 and 323,979.75 is: 514,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,968.13 : 323,979.75 = 323,979.75 : x
  2. Step 2: Convert to fraction form
    203,968.13/323,979.75 = 323,979.75/x
  3. Step 3: Cross multiply
    203,968.13x = 323,979.75 × 323,979.75
  4. Step 4: Simplify right side
    203,968.13x = 104,962,878,410.06
  5. Step 5: Solve for x
    x = 104,962,878,410.06/203,968.13
  6. Step 6: Final answer
    x = 514,604.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.