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Finding the Third Proportional to 166,884.75 and 258,885

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Solution

The third proportional to 166,884.75 and 258,885 is: 401,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,884.75 : 258,885 = 258,885 : x
  2. Step 2: Convert to fraction form
    166,884.75/258,885 = 258,885/x
  3. Step 3: Cross multiply
    166,884.75x = 258,885 × 258,885
  4. Step 4: Simplify right side
    166,884.75x = 67,021,443,225
  5. Step 5: Solve for x
    x = 67,021,443,225/166,884.75
  6. Step 6: Final answer
    x = 401,603.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.