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Finding the Third Proportional to 230,650.03 and 324,664.13

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Solution

The third proportional to 230,650.03 and 324,664.13 is: 456,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,650.03 : 324,664.13 = 324,664.13 : x
  2. Step 2: Convert to fraction form
    230,650.03/324,664.13 = 324,664.13/x
  3. Step 3: Cross multiply
    230,650.03x = 324,664.13 × 324,664.13
  4. Step 4: Simplify right side
    230,650.03x = 105,406,794,062.02
  5. Step 5: Solve for x
    x = 105,406,794,062.02/230,650.03
  6. Step 6: Final answer
    x = 456,998.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.