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Finding the Third Proportional to 244,161.75 and 378,013.13

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Solution

The third proportional to 244,161.75 and 378,013.13 is: 585,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,161.75 : 378,013.13 = 378,013.13 : x
  2. Step 2: Convert to fraction form
    244,161.75/378,013.13 = 378,013.13/x
  3. Step 3: Cross multiply
    244,161.75x = 378,013.13 × 378,013.13
  4. Step 4: Simplify right side
    244,161.75x = 142,893,922,672.27
  5. Step 5: Solve for x
    x = 142,893,922,672.27/244,161.75
  6. Step 6: Final answer
    x = 585,242.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.