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Finding the Third Proportional to 207,469.13 and 320,412.38

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Solution

The third proportional to 207,469.13 and 320,412.38 is: 494,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,469.13 : 320,412.38 = 320,412.38 : x
  2. Step 2: Convert to fraction form
    207,469.13/320,412.38 = 320,412.38/x
  3. Step 3: Cross multiply
    207,469.13x = 320,412.38 × 320,412.38
  4. Step 4: Simplify right side
    207,469.13x = 102,664,090,053.14
  5. Step 5: Solve for x
    x = 102,664,090,053.14/207,469.13
  6. Step 6: Final answer
    x = 494,840.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.