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Finding the Third Proportional to 166,932 and 258,498

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Solution

The third proportional to 166,932 and 258,498 is: 400,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,932 : 258,498 = 258,498 : x
  2. Step 2: Convert to fraction form
    166,932/258,498 = 258,498/x
  3. Step 3: Cross multiply
    166,932x = 258,498 × 258,498
  4. Step 4: Simplify right side
    166,932x = 66,821,216,004
  5. Step 5: Solve for x
    x = 66,821,216,004/166,932
  6. Step 6: Final answer
    x = 400,290.03

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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.