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Finding the Third Proportional to 159,365.25 and 347,708.25

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Solution

The third proportional to 159,365.25 and 347,708.25 is: 758,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,365.25 : 347,708.25 = 347,708.25 : x
  2. Step 2: Convert to fraction form
    159,365.25/347,708.25 = 347,708.25/x
  3. Step 3: Cross multiply
    159,365.25x = 347,708.25 × 347,708.25
  4. Step 4: Simplify right side
    159,365.25x = 120,901,027,118.06
  5. Step 5: Solve for x
    x = 120,901,027,118.06/159,365.25
  6. Step 6: Final answer
    x = 758,641.09

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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.