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Finding the Third Proportional to 133,170 and 282,864

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Solution

The third proportional to 133,170 and 282,864 is: 600,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,170 : 282,864 = 282,864 : x
  2. Step 2: Convert to fraction form
    133,170/282,864 = 282,864/x
  3. Step 3: Cross multiply
    133,170x = 282,864 × 282,864
  4. Step 4: Simplify right side
    133,170x = 80,012,042,496
  5. Step 5: Solve for x
    x = 80,012,042,496/133,170
  6. Step 6: Final answer
    x = 600,826.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.