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Finding the Third Proportional to 167,466.38 and 219,021.75

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Solution

The third proportional to 167,466.38 and 219,021.75 is: 286,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,466.38 : 219,021.75 = 219,021.75 : x
  2. Step 2: Convert to fraction form
    167,466.38/219,021.75 = 219,021.75/x
  3. Step 3: Cross multiply
    167,466.38x = 219,021.75 × 219,021.75
  4. Step 4: Simplify right side
    167,466.38x = 47,970,526,973.06
  5. Step 5: Solve for x
    x = 47,970,526,973.06/167,466.38
  6. Step 6: Final answer
    x = 286,448.71

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.