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Finding the Third Proportional to 215,241 and 335,163

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Solution

The third proportional to 215,241 and 335,163 is: 521,899.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,241 : 335,163 = 335,163 : x
  2. Step 2: Convert to fraction form
    215,241/335,163 = 335,163/x
  3. Step 3: Cross multiply
    215,241x = 335,163 × 335,163
  4. Step 4: Simplify right side
    215,241x = 112,334,236,569
  5. Step 5: Solve for x
    x = 112,334,236,569/215,241
  6. Step 6: Final answer
    x = 521,899.81

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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.