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Finding the Third Proportional to 215,954 and 338,735

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Solution

The third proportional to 215,954 and 338,735 is: 531,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,954 : 338,735 = 338,735 : x
  2. Step 2: Convert to fraction form
    215,954/338,735 = 338,735/x
  3. Step 3: Cross multiply
    215,954x = 338,735 × 338,735
  4. Step 4: Simplify right side
    215,954x = 114,741,400,225
  5. Step 5: Solve for x
    x = 114,741,400,225/215,954
  6. Step 6: Final answer
    x = 531,323.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.