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Finding the Third Proportional to 133,713 and 293,667

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Solution

The third proportional to 133,713 and 293,667 is: 644,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,713 : 293,667 = 293,667 : x
  2. Step 2: Convert to fraction form
    133,713/293,667 = 293,667/x
  3. Step 3: Cross multiply
    133,713x = 293,667 × 293,667
  4. Step 4: Simplify right side
    133,713x = 86,240,306,889
  5. Step 5: Solve for x
    x = 86,240,306,889/133,713
  6. Step 6: Final answer
    x = 644,965.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.