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Finding the Third Proportional to 228,272.75 and 354,842.75

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Solution

The third proportional to 228,272.75 and 354,842.75 is: 551,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,272.75 : 354,842.75 = 354,842.75 : x
  2. Step 2: Convert to fraction form
    228,272.75/354,842.75 = 354,842.75/x
  3. Step 3: Cross multiply
    228,272.75x = 354,842.75 × 354,842.75
  4. Step 4: Simplify right side
    228,272.75x = 125,913,377,227.56
  5. Step 5: Solve for x
    x = 125,913,377,227.56/228,272.75
  6. Step 6: Final answer
    x = 551,591.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.