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Finding the Third Proportional to 166,009.50 and 363,183.75

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Solution

The third proportional to 166,009.50 and 363,183.75 is: 794,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,009.50 : 363,183.75 = 363,183.75 : x
  2. Step 2: Convert to fraction form
    166,009.50/363,183.75 = 363,183.75/x
  3. Step 3: Cross multiply
    166,009.50x = 363,183.75 × 363,183.75
  4. Step 4: Simplify right side
    166,009.50x = 131,902,436,264.06
  5. Step 5: Solve for x
    x = 131,902,436,264.06/166,009.50
  6. Step 6: Final answer
    x = 794,547.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.