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Finding the Third Proportional to 228,912.75 and 354,872.25

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Solution

The third proportional to 228,912.75 and 354,872.25 is: 550,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,912.75 : 354,872.25 = 354,872.25 : x
  2. Step 2: Convert to fraction form
    228,912.75/354,872.25 = 354,872.25/x
  3. Step 3: Cross multiply
    228,912.75x = 354,872.25 × 354,872.25
  4. Step 4: Simplify right side
    228,912.75x = 125,934,313,820.06
  5. Step 5: Solve for x
    x = 125,934,313,820.06/228,912.75
  6. Step 6: Final answer
    x = 550,141.11

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Why These Related Problems?

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