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Finding the Third Proportional to 229,340 and 354,234

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Solution

The third proportional to 229,340 and 354,234 is: 547,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,340 : 354,234 = 354,234 : x
  2. Step 2: Convert to fraction form
    229,340/354,234 = 354,234/x
  3. Step 3: Cross multiply
    229,340x = 354,234 × 354,234
  4. Step 4: Simplify right side
    229,340x = 125,481,726,756
  5. Step 5: Solve for x
    x = 125,481,726,756/229,340
  6. Step 6: Final answer
    x = 547,142.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.