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Finding the Third Proportional to 205,351.50 and 300,933.75

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Solution

The third proportional to 205,351.50 and 300,933.75 is: 441,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,351.50 : 300,933.75 = 300,933.75 : x
  2. Step 2: Convert to fraction form
    205,351.50/300,933.75 = 300,933.75/x
  3. Step 3: Cross multiply
    205,351.50x = 300,933.75 × 300,933.75
  4. Step 4: Simplify right side
    205,351.50x = 90,561,121,889.06
  5. Step 5: Solve for x
    x = 90,561,121,889.06/205,351.50
  6. Step 6: Final answer
    x = 441,005.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.