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Finding the Third Proportional to 166,894 and 258,771

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Solution

The third proportional to 166,894 and 258,771 is: 401,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,894 : 258,771 = 258,771 : x
  2. Step 2: Convert to fraction form
    166,894/258,771 = 258,771/x
  3. Step 3: Cross multiply
    166,894x = 258,771 × 258,771
  4. Step 4: Simplify right side
    166,894x = 66,962,430,441
  5. Step 5: Solve for x
    x = 66,962,430,441/166,894
  6. Step 6: Final answer
    x = 401,227.31

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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.