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Finding the Third Proportional to 155,832 and 244,128

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Solution

The third proportional to 155,832 and 244,128 is: 382,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,832 : 244,128 = 244,128 : x
  2. Step 2: Convert to fraction form
    155,832/244,128 = 244,128/x
  3. Step 3: Cross multiply
    155,832x = 244,128 × 244,128
  4. Step 4: Simplify right side
    155,832x = 59,598,480,384
  5. Step 5: Solve for x
    x = 59,598,480,384/155,832
  6. Step 6: Final answer
    x = 382,453.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.