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Finding the Third Proportional to 193,333.50 and 423,846

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Solution

The third proportional to 193,333.50 and 423,846 is: 929,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,333.50 : 423,846 = 423,846 : x
  2. Step 2: Convert to fraction form
    193,333.50/423,846 = 423,846/x
  3. Step 3: Cross multiply
    193,333.50x = 423,846 × 423,846
  4. Step 4: Simplify right side
    193,333.50x = 179,645,431,716
  5. Step 5: Solve for x
    x = 179,645,431,716/193,333.50
  6. Step 6: Final answer
    x = 929,199.71

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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.