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Finding the Third Proportional to 133,002 and 291,843

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Solution

The third proportional to 133,002 and 291,843 is: 640,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,002 : 291,843 = 291,843 : x
  2. Step 2: Convert to fraction form
    133,002/291,843 = 291,843/x
  3. Step 3: Cross multiply
    133,002x = 291,843 × 291,843
  4. Step 4: Simplify right side
    133,002x = 85,172,336,649
  5. Step 5: Solve for x
    x = 85,172,336,649/133,002
  6. Step 6: Final answer
    x = 640,383.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.