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Finding the Third Proportional to 217,165 and 330,175

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Solution

The third proportional to 217,165 and 330,175 is: 501,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,165 : 330,175 = 330,175 : x
  2. Step 2: Convert to fraction form
    217,165/330,175 = 330,175/x
  3. Step 3: Cross multiply
    217,165x = 330,175 × 330,175
  4. Step 4: Simplify right side
    217,165x = 109,015,530,625
  5. Step 5: Solve for x
    x = 109,015,530,625/217,165
  6. Step 6: Final answer
    x = 501,994.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.