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Finding the Third Proportional to 157,653 and 244,224.75

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Solution

The third proportional to 157,653 and 244,224.75 is: 378,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,653 : 244,224.75 = 244,224.75 : x
  2. Step 2: Convert to fraction form
    157,653/244,224.75 = 244,224.75/x
  3. Step 3: Cross multiply
    157,653x = 244,224.75 × 244,224.75
  4. Step 4: Simplify right side
    157,653x = 59,645,728,512.56
  5. Step 5: Solve for x
    x = 59,645,728,512.56/157,653
  6. Step 6: Final answer
    x = 378,335.51

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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.