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Finding the Third Proportional to 167,911.50 and 232,722.75

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Solution

The third proportional to 167,911.50 and 232,722.75 is: 322,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,911.50 : 232,722.75 = 232,722.75 : x
  2. Step 2: Convert to fraction form
    167,911.50/232,722.75 = 232,722.75/x
  3. Step 3: Cross multiply
    167,911.50x = 232,722.75 × 232,722.75
  4. Step 4: Simplify right side
    167,911.50x = 54,159,878,367.56
  5. Step 5: Solve for x
    x = 54,159,878,367.56/167,911.50
  6. Step 6: Final answer
    x = 322,550.14

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.