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Finding the Third Proportional to 217,993 and 295,885

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Solution

The third proportional to 217,993 and 295,885 is: 401,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,993 : 295,885 = 295,885 : x
  2. Step 2: Convert to fraction form
    217,993/295,885 = 295,885/x
  3. Step 3: Cross multiply
    217,993x = 295,885 × 295,885
  4. Step 4: Simplify right side
    217,993x = 87,547,933,225
  5. Step 5: Solve for x
    x = 87,547,933,225/217,993
  6. Step 6: Final answer
    x = 401,608.92

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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.