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Finding the Third Proportional to 194,299 and 308,952.50

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Solution

The third proportional to 194,299 and 308,952.50 is: 491,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,299 : 308,952.50 = 308,952.50 : x
  2. Step 2: Convert to fraction form
    194,299/308,952.50 = 308,952.50/x
  3. Step 3: Cross multiply
    194,299x = 308,952.50 × 308,952.50
  4. Step 4: Simplify right side
    194,299x = 95,451,647,256.25
  5. Step 5: Solve for x
    x = 95,451,647,256.25/194,299
  6. Step 6: Final answer
    x = 491,261.65

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.