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Finding the Third Proportional to 167,683.50 and 261,734.25

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Solution

The third proportional to 167,683.50 and 261,734.25 is: 408,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,683.50 : 261,734.25 = 261,734.25 : x
  2. Step 2: Convert to fraction form
    167,683.50/261,734.25 = 261,734.25/x
  3. Step 3: Cross multiply
    167,683.50x = 261,734.25 × 261,734.25
  4. Step 4: Simplify right side
    167,683.50x = 68,504,817,623.06
  5. Step 5: Solve for x
    x = 68,504,817,623.06/167,683.50
  6. Step 6: Final answer
    x = 408,536.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.