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Finding the Third Proportional to 204,906.38 and 320,751.56

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Solution

The third proportional to 204,906.38 and 320,751.56 is: 502,090.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,906.38 : 320,751.56 = 320,751.56 : x
  2. Step 2: Convert to fraction form
    204,906.38/320,751.56 = 320,751.56/x
  3. Step 3: Cross multiply
    204,906.38x = 320,751.56 × 320,751.56
  4. Step 4: Simplify right side
    204,906.38x = 102,881,564,846.19
  5. Step 5: Solve for x
    x = 102,881,564,846.19/204,906.38
  6. Step 6: Final answer
    x = 502,090.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.