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Finding the Third Proportional to 229,500 and 379,266

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Solution

The third proportional to 229,500 and 379,266 is: 626,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,500 : 379,266 = 379,266 : x
  2. Step 2: Convert to fraction form
    229,500/379,266 = 379,266/x
  3. Step 3: Cross multiply
    229,500x = 379,266 × 379,266
  4. Step 4: Simplify right side
    229,500x = 143,842,698,756
  5. Step 5: Solve for x
    x = 143,842,698,756/229,500
  6. Step 6: Final answer
    x = 626,765.57

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.