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Finding the Third Proportional to 160,744.50 and 342,840.73

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Solution

The third proportional to 160,744.50 and 342,840.73 is: 731,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,744.50 : 342,840.73 = 342,840.73 : x
  2. Step 2: Convert to fraction form
    160,744.50/342,840.73 = 342,840.73/x
  3. Step 3: Cross multiply
    160,744.50x = 342,840.73 × 342,840.73
  4. Step 4: Simplify right side
    160,744.50x = 117,539,763,789.90
  5. Step 5: Solve for x
    x = 117,539,763,789.90/160,744.50
  6. Step 6: Final answer
    x = 731,221.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.