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Finding the Third Proportional to 228,220 and 354,774

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Solution

The third proportional to 228,220 and 354,774 is: 551,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,220 : 354,774 = 354,774 : x
  2. Step 2: Convert to fraction form
    228,220/354,774 = 354,774/x
  3. Step 3: Cross multiply
    228,220x = 354,774 × 354,774
  4. Step 4: Simplify right side
    228,220x = 125,864,591,076
  5. Step 5: Solve for x
    x = 125,864,591,076/228,220
  6. Step 6: Final answer
    x = 551,505.53

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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.