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Finding the Third Proportional to 159,508.50 and 347,994

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Solution

The third proportional to 159,508.50 and 347,994 is: 759,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,508.50 : 347,994 = 347,994 : x
  2. Step 2: Convert to fraction form
    159,508.50/347,994 = 347,994/x
  3. Step 3: Cross multiply
    159,508.50x = 347,994 × 347,994
  4. Step 4: Simplify right side
    159,508.50x = 121,099,824,036
  5. Step 5: Solve for x
    x = 121,099,824,036/159,508.50
  6. Step 6: Final answer
    x = 759,206.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.