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Finding the Third Proportional to 204,745.50 and 442,783.50

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Solution

The third proportional to 204,745.50 and 442,783.50 is: 957,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,745.50 : 442,783.50 = 442,783.50 : x
  2. Step 2: Convert to fraction form
    204,745.50/442,783.50 = 442,783.50/x
  3. Step 3: Cross multiply
    204,745.50x = 442,783.50 × 442,783.50
  4. Step 4: Simplify right side
    204,745.50x = 196,057,227,872.25
  5. Step 5: Solve for x
    x = 196,057,227,872.25/204,745.50
  6. Step 6: Final answer
    x = 957,565.50

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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.