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Finding the Third Proportional to 204,499.69 and 313,918.03

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Solution

The third proportional to 204,499.69 and 313,918.03 is: 481,881.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,499.69 : 313,918.03 = 313,918.03 : x
  2. Step 2: Convert to fraction form
    204,499.69/313,918.03 = 313,918.03/x
  3. Step 3: Cross multiply
    204,499.69x = 313,918.03 × 313,918.03
  4. Step 4: Simplify right side
    204,499.69x = 98,544,530,343.88
  5. Step 5: Solve for x
    x = 98,544,530,343.88/204,499.69
  6. Step 6: Final answer
    x = 481,881.08

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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.