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Finding the Third Proportional to 228,268 and 354,836

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Solution

The third proportional to 228,268 and 354,836 is: 551,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,268 : 354,836 = 354,836 : x
  2. Step 2: Convert to fraction form
    228,268/354,836 = 354,836/x
  3. Step 3: Cross multiply
    228,268x = 354,836 × 354,836
  4. Step 4: Simplify right side
    228,268x = 125,908,586,896
  5. Step 5: Solve for x
    x = 125,908,586,896/228,268
  6. Step 6: Final answer
    x = 551,582.29

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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.