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Finding the Third Proportional to 227,228 and 352,325

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Solution

The third proportional to 227,228 and 352,325 is: 546,292.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,228 : 352,325 = 352,325 : x
  2. Step 2: Convert to fraction form
    227,228/352,325 = 352,325/x
  3. Step 3: Cross multiply
    227,228x = 352,325 × 352,325
  4. Step 4: Simplify right side
    227,228x = 124,132,905,625
  5. Step 5: Solve for x
    x = 124,132,905,625/227,228
  6. Step 6: Final answer
    x = 546,292.30

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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.