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Finding the Third Proportional to 215,424 and 335,027

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Solution

The third proportional to 215,424 and 335,027 is: 521,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,424 : 335,027 = 335,027 : x
  2. Step 2: Convert to fraction form
    215,424/335,027 = 335,027/x
  3. Step 3: Cross multiply
    215,424x = 335,027 × 335,027
  4. Step 4: Simplify right side
    215,424x = 112,243,090,729
  5. Step 5: Solve for x
    x = 112,243,090,729/215,424
  6. Step 6: Final answer
    x = 521,033.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.