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Finding the Third Proportional to 181,936 and 280,680

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Solution

The third proportional to 181,936 and 280,680 is: 433,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,936 : 280,680 = 280,680 : x
  2. Step 2: Convert to fraction form
    181,936/280,680 = 280,680/x
  3. Step 3: Cross multiply
    181,936x = 280,680 × 280,680
  4. Step 4: Simplify right side
    181,936x = 78,781,262,400
  5. Step 5: Solve for x
    x = 78,781,262,400/181,936
  6. Step 6: Final answer
    x = 433,016.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.