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Finding the Third Proportional to 167,094 and 258,858

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Solution

The third proportional to 167,094 and 258,858 is: 401,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,094 : 258,858 = 258,858 : x
  2. Step 2: Convert to fraction form
    167,094/258,858 = 258,858/x
  3. Step 3: Cross multiply
    167,094x = 258,858 × 258,858
  4. Step 4: Simplify right side
    167,094x = 67,007,464,164
  5. Step 5: Solve for x
    x = 67,007,464,164/167,094
  6. Step 6: Final answer
    x = 401,016.58

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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.