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Finding the Third Proportional to 228,228 and 335,880

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Solution

The third proportional to 228,228 and 335,880 is: 494,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,228 : 335,880 = 335,880 : x
  2. Step 2: Convert to fraction form
    228,228/335,880 = 335,880/x
  3. Step 3: Cross multiply
    228,228x = 335,880 × 335,880
  4. Step 4: Simplify right side
    228,228x = 112,815,374,400
  5. Step 5: Solve for x
    x = 112,815,374,400/228,228
  6. Step 6: Final answer
    x = 494,309.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.