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Finding the Third Proportional to 222,111.75 and 324,837.38

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Solution

The third proportional to 222,111.75 and 324,837.38 is: 475,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,111.75 : 324,837.38 = 324,837.38 : x
  2. Step 2: Convert to fraction form
    222,111.75/324,837.38 = 324,837.38/x
  3. Step 3: Cross multiply
    222,111.75x = 324,837.38 × 324,837.38
  4. Step 4: Simplify right side
    222,111.75x = 105,519,320,196.89
  5. Step 5: Solve for x
    x = 105,519,320,196.89/222,111.75
  6. Step 6: Final answer
    x = 475,073.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.