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Finding the Third Proportional to 167,208.75 and 252,595.75

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Solution

The third proportional to 167,208.75 and 252,595.75 is: 381,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,208.75 : 252,595.75 = 252,595.75 : x
  2. Step 2: Convert to fraction form
    167,208.75/252,595.75 = 252,595.75/x
  3. Step 3: Cross multiply
    167,208.75x = 252,595.75 × 252,595.75
  4. Step 4: Simplify right side
    167,208.75x = 63,804,612,918.06
  5. Step 5: Solve for x
    x = 63,804,612,918.06/167,208.75
  6. Step 6: Final answer
    x = 381,586.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.