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Finding the Third Proportional to 166,986 and 258,597

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Solution

The third proportional to 166,986 and 258,597 is: 400,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,986 : 258,597 = 258,597 : x
  2. Step 2: Convert to fraction form
    166,986/258,597 = 258,597/x
  3. Step 3: Cross multiply
    166,986x = 258,597 × 258,597
  4. Step 4: Simplify right side
    166,986x = 66,872,408,409
  5. Step 5: Solve for x
    x = 66,872,408,409/166,986
  6. Step 6: Final answer
    x = 400,467.16

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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.