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Finding the Third Proportional to 144,199.75 and 215,104.75

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Solution

The third proportional to 144,199.75 and 215,104.75 is: 320,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,199.75 : 215,104.75 = 215,104.75 : x
  2. Step 2: Convert to fraction form
    144,199.75/215,104.75 = 215,104.75/x
  3. Step 3: Cross multiply
    144,199.75x = 215,104.75 × 215,104.75
  4. Step 4: Simplify right side
    144,199.75x = 46,270,053,472.56
  5. Step 5: Solve for x
    x = 46,270,053,472.56/144,199.75
  6. Step 6: Final answer
    x = 320,874.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.