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Finding the Third Proportional to 167,834.25 and 365,181.75

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Solution

The third proportional to 167,834.25 and 365,181.75 is: 794,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,834.25 : 365,181.75 = 365,181.75 : x
  2. Step 2: Convert to fraction form
    167,834.25/365,181.75 = 365,181.75/x
  3. Step 3: Cross multiply
    167,834.25x = 365,181.75 × 365,181.75
  4. Step 4: Simplify right side
    167,834.25x = 133,357,710,533.06
  5. Step 5: Solve for x
    x = 133,357,710,533.06/167,834.25
  6. Step 6: Final answer
    x = 794,579.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.