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Finding the Third Proportional to 228,858.75 and 354,071.25

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Solution

The third proportional to 228,858.75 and 354,071.25 is: 547,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,858.75 : 354,071.25 = 354,071.25 : x
  2. Step 2: Convert to fraction form
    228,858.75/354,071.25 = 354,071.25/x
  3. Step 3: Cross multiply
    228,858.75x = 354,071.25 × 354,071.25
  4. Step 4: Simplify right side
    228,858.75x = 125,366,450,076.56
  5. Step 5: Solve for x
    x = 125,366,450,076.56/228,858.75
  6. Step 6: Final answer
    x = 547,789.63

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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.