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Finding the Third Proportional to 167,537.25 and 339,934.50

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Solution

The third proportional to 167,537.25 and 339,934.50 is: 689,729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,537.25 : 339,934.50 = 339,934.50 : x
  2. Step 2: Convert to fraction form
    167,537.25/339,934.50 = 339,934.50/x
  3. Step 3: Cross multiply
    167,537.25x = 339,934.50 × 339,934.50
  4. Step 4: Simplify right side
    167,537.25x = 115,555,464,290.25
  5. Step 5: Solve for x
    x = 115,555,464,290.25/167,537.25
  6. Step 6: Final answer
    x = 689,729.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.