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Finding the Third Proportional to 133,081 and 295,687

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Solution

The third proportional to 133,081 and 295,687 is: 656,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,081 : 295,687 = 295,687 : x
  2. Step 2: Convert to fraction form
    133,081/295,687 = 295,687/x
  3. Step 3: Cross multiply
    133,081x = 295,687 × 295,687
  4. Step 4: Simplify right side
    133,081x = 87,430,801,969
  5. Step 5: Solve for x
    x = 87,430,801,969/133,081
  6. Step 6: Final answer
    x = 656,974.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.