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Finding the Third Proportional to 166,896 and 258,894

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Solution

The third proportional to 166,896 and 258,894 is: 401,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,896 : 258,894 = 258,894 : x
  2. Step 2: Convert to fraction form
    166,896/258,894 = 258,894/x
  3. Step 3: Cross multiply
    166,896x = 258,894 × 258,894
  4. Step 4: Simplify right side
    166,896x = 67,026,103,236
  5. Step 5: Solve for x
    x = 67,026,103,236/166,896
  6. Step 6: Final answer
    x = 401,604.01

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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.