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Finding the Third Proportional to 193,176.56 and 423,258.75

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Solution

The third proportional to 193,176.56 and 423,258.75 is: 927,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,176.56 : 423,258.75 = 423,258.75 : x
  2. Step 2: Convert to fraction form
    193,176.56/423,258.75 = 423,258.75/x
  3. Step 3: Cross multiply
    193,176.56x = 423,258.75 × 423,258.75
  4. Step 4: Simplify right side
    193,176.56x = 179,147,969,451.56
  5. Step 5: Solve for x
    x = 179,147,969,451.56/193,176.56
  6. Step 6: Final answer
    x = 927,379.42

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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.