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Finding the Third Proportional to 167,110 and 258,884

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Solution

The third proportional to 167,110 and 258,884 is: 401,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,110 : 258,884 = 258,884 : x
  2. Step 2: Convert to fraction form
    167,110/258,884 = 258,884/x
  3. Step 3: Cross multiply
    167,110x = 258,884 × 258,884
  4. Step 4: Simplify right side
    167,110x = 67,020,925,456
  5. Step 5: Solve for x
    x = 67,020,925,456/167,110
  6. Step 6: Final answer
    x = 401,058.74

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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.