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Finding the Third Proportional to 205,755.75 and 300,606.75

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Solution

The third proportional to 205,755.75 and 300,606.75 is: 439,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,755.75 : 300,606.75 = 300,606.75 : x
  2. Step 2: Convert to fraction form
    205,755.75/300,606.75 = 300,606.75/x
  3. Step 3: Cross multiply
    205,755.75x = 300,606.75 × 300,606.75
  4. Step 4: Simplify right side
    205,755.75x = 90,364,418,145.56
  5. Step 5: Solve for x
    x = 90,364,418,145.56/205,755.75
  6. Step 6: Final answer
    x = 439,182.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.