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Finding the Third Proportional to 158,504 and 341,976

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Solution

The third proportional to 158,504 and 341,976 is: 737,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,504 : 341,976 = 341,976 : x
  2. Step 2: Convert to fraction form
    158,504/341,976 = 341,976/x
  3. Step 3: Cross multiply
    158,504x = 341,976 × 341,976
  4. Step 4: Simplify right side
    158,504x = 116,947,584,576
  5. Step 5: Solve for x
    x = 116,947,584,576/158,504
  6. Step 6: Final answer
    x = 737,821.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.