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Finding the Third Proportional to 228,277 and 354,849

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Solution

The third proportional to 228,277 and 354,849 is: 551,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,277 : 354,849 = 354,849 : x
  2. Step 2: Convert to fraction form
    228,277/354,849 = 354,849/x
  3. Step 3: Cross multiply
    228,277x = 354,849 × 354,849
  4. Step 4: Simplify right side
    228,277x = 125,917,812,801
  5. Step 5: Solve for x
    x = 125,917,812,801/228,277
  6. Step 6: Final answer
    x = 551,600.96

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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.