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Finding the Third Proportional to 155,039.25 and 226,407.75

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Solution

The third proportional to 155,039.25 and 226,407.75 is: 330,628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,039.25 : 226,407.75 = 226,407.75 : x
  2. Step 2: Convert to fraction form
    155,039.25/226,407.75 = 226,407.75/x
  3. Step 3: Cross multiply
    155,039.25x = 226,407.75 × 226,407.75
  4. Step 4: Simplify right side
    155,039.25x = 51,260,469,260.06
  5. Step 5: Solve for x
    x = 51,260,469,260.06/155,039.25
  6. Step 6: Final answer
    x = 330,628.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.