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Finding the Third Proportional to 194,847.75 and 405,006.75

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Solution

The third proportional to 194,847.75 and 405,006.75 is: 841,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,847.75 : 405,006.75 = 405,006.75 : x
  2. Step 2: Convert to fraction form
    194,847.75/405,006.75 = 405,006.75/x
  3. Step 3: Cross multiply
    194,847.75x = 405,006.75 × 405,006.75
  4. Step 4: Simplify right side
    194,847.75x = 164,030,467,545.56
  5. Step 5: Solve for x
    x = 164,030,467,545.56/194,847.75
  6. Step 6: Final answer
    x = 841,839.17

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.