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Finding the Third Proportional to 133,293 and 281,571

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Solution

The third proportional to 133,293 and 281,571 is: 594,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,293 : 281,571 = 281,571 : x
  2. Step 2: Convert to fraction form
    133,293/281,571 = 281,571/x
  3. Step 3: Cross multiply
    133,293x = 281,571 × 281,571
  4. Step 4: Simplify right side
    133,293x = 79,282,228,041
  5. Step 5: Solve for x
    x = 79,282,228,041/133,293
  6. Step 6: Final answer
    x = 594,796.64

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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.