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Finding the Third Proportional to 133,982.44 and 287,391.56

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Solution

The third proportional to 133,982.44 and 287,391.56 is: 616,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,982.44 : 287,391.56 = 287,391.56 : x
  2. Step 2: Convert to fraction form
    133,982.44/287,391.56 = 287,391.56/x
  3. Step 3: Cross multiply
    133,982.44x = 287,391.56 × 287,391.56
  4. Step 4: Simplify right side
    133,982.44x = 82,593,910,196.19
  5. Step 5: Solve for x
    x = 82,593,910,196.19/133,982.44
  6. Step 6: Final answer
    x = 616,453.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.