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Finding the Third Proportional to 228,216.94 and 354,770.44

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Solution

The third proportional to 228,216.94 and 354,770.44 is: 551,501.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,216.94 : 354,770.44 = 354,770.44 : x
  2. Step 2: Convert to fraction form
    228,216.94/354,770.44 = 354,770.44/x
  3. Step 3: Cross multiply
    228,216.94x = 354,770.44 × 354,770.44
  4. Step 4: Simplify right side
    228,216.94x = 125,862,063,323.94
  5. Step 5: Solve for x
    x = 125,862,063,323.94/228,216.94
  6. Step 6: Final answer
    x = 551,501.85

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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.