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Finding the Third Proportional to 217,991 and 295,882

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Solution

The third proportional to 217,991 and 295,882 is: 401,604.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,991 : 295,882 = 295,882 : x
  2. Step 2: Convert to fraction form
    217,991/295,882 = 295,882/x
  3. Step 3: Cross multiply
    217,991x = 295,882 × 295,882
  4. Step 4: Simplify right side
    217,991x = 87,546,157,924
  5. Step 5: Solve for x
    x = 87,546,157,924/217,991
  6. Step 6: Final answer
    x = 401,604.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.