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Finding the Third Proportional to 133,002 and 286,872

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Solution

The third proportional to 133,002 and 286,872 is: 618,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,002 : 286,872 = 286,872 : x
  2. Step 2: Convert to fraction form
    133,002/286,872 = 286,872/x
  3. Step 3: Cross multiply
    133,002x = 286,872 × 286,872
  4. Step 4: Simplify right side
    133,002x = 82,295,544,384
  5. Step 5: Solve for x
    x = 82,295,544,384/133,002
  6. Step 6: Final answer
    x = 618,754.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.