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Finding the Third Proportional to 167,116 and 258,893

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Solution

The third proportional to 167,116 and 258,893 is: 401,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,116 : 258,893 = 258,893 : x
  2. Step 2: Convert to fraction form
    167,116/258,893 = 258,893/x
  3. Step 3: Cross multiply
    167,116x = 258,893 × 258,893
  4. Step 4: Simplify right side
    167,116x = 67,025,585,449
  5. Step 5: Solve for x
    x = 67,025,585,449/167,116
  6. Step 6: Final answer
    x = 401,072.22

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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.