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Finding the Third Proportional to 167,339.25 and 258,788.25

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Solution

The third proportional to 167,339.25 and 258,788.25 is: 400,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,339.25 : 258,788.25 = 258,788.25 : x
  2. Step 2: Convert to fraction form
    167,339.25/258,788.25 = 258,788.25/x
  3. Step 3: Cross multiply
    167,339.25x = 258,788.25 × 258,788.25
  4. Step 4: Simplify right side
    167,339.25x = 66,971,358,338.06
  5. Step 5: Solve for x
    x = 66,971,358,338.06/167,339.25
  6. Step 6: Final answer
    x = 400,213.09

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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.