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Finding the Third Proportional to 167,535.84 and 252,849.09

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Solution

The third proportional to 167,535.84 and 252,849.09 is: 381,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,535.84 : 252,849.09 = 252,849.09 : x
  2. Step 2: Convert to fraction form
    167,535.84/252,849.09 = 252,849.09/x
  3. Step 3: Cross multiply
    167,535.84x = 252,849.09 × 252,849.09
  4. Step 4: Simplify right side
    167,535.84x = 63,932,664,210.20
  5. Step 5: Solve for x
    x = 63,932,664,210.20/167,535.84
  6. Step 6: Final answer
    x = 381,605.89

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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.