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Finding the Third Proportional to 180,902.75 and 381,873.25

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Solution

The third proportional to 180,902.75 and 381,873.25 is: 806,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902.75 : 381,873.25 = 381,873.25 : x
  2. Step 2: Convert to fraction form
    180,902.75/381,873.25 = 381,873.25/x
  3. Step 3: Cross multiply
    180,902.75x = 381,873.25 × 381,873.25
  4. Step 4: Simplify right side
    180,902.75x = 145,827,179,065.56
  5. Step 5: Solve for x
    x = 145,827,179,065.56/180,902.75
  6. Step 6: Final answer
    x = 806,108.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.