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Finding the Third Proportional to 180,902.25 and 381,872.25

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Solution

The third proportional to 180,902.25 and 381,872.25 is: 806,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902.25 : 381,872.25 = 381,872.25 : x
  2. Step 2: Convert to fraction form
    180,902.25/381,872.25 = 381,872.25/x
  3. Step 3: Cross multiply
    180,902.25x = 381,872.25 × 381,872.25
  4. Step 4: Simplify right side
    180,902.25x = 145,826,415,320.06
  5. Step 5: Solve for x
    x = 145,826,415,320.06/180,902.25
  6. Step 6: Final answer
    x = 806,106.14

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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.