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Finding the Third Proportional to 167,067 and 359,986.50

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Solution

The third proportional to 167,067 and 359,986.50 is: 775,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,067 : 359,986.50 = 359,986.50 : x
  2. Step 2: Convert to fraction form
    167,067/359,986.50 = 359,986.50/x
  3. Step 3: Cross multiply
    167,067x = 359,986.50 × 359,986.50
  4. Step 4: Simplify right side
    167,067x = 129,590,280,182.25
  5. Step 5: Solve for x
    x = 129,590,280,182.25/167,067
  6. Step 6: Final answer
    x = 775,678.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.