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Finding the Third Proportional to 193,698 and 418,519.50

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Solution

The third proportional to 193,698 and 418,519.50 is: 904,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,698 : 418,519.50 = 418,519.50 : x
  2. Step 2: Convert to fraction form
    193,698/418,519.50 = 418,519.50/x
  3. Step 3: Cross multiply
    193,698x = 418,519.50 × 418,519.50
  4. Step 4: Simplify right side
    193,698x = 175,158,571,880.25
  5. Step 5: Solve for x
    x = 175,158,571,880.25/193,698
  6. Step 6: Final answer
    x = 904,286.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.