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Finding the Third Proportional to 194,764.50 and 422,744.06

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Solution

The third proportional to 194,764.50 and 422,744.06 is: 917,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,764.50 : 422,744.06 = 422,744.06 : x
  2. Step 2: Convert to fraction form
    194,764.50/422,744.06 = 422,744.06/x
  3. Step 3: Cross multiply
    194,764.50x = 422,744.06 × 422,744.06
  4. Step 4: Simplify right side
    194,764.50x = 178,712,542,379.00
  5. Step 5: Solve for x
    x = 178,712,542,379.00/194,764.50
  6. Step 6: Final answer
    x = 917,582.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.