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Finding the Third Proportional to 229,864 and 356,825

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Solution

The third proportional to 229,864 and 356,825 is: 553,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,864 : 356,825 = 356,825 : x
  2. Step 2: Convert to fraction form
    229,864/356,825 = 356,825/x
  3. Step 3: Cross multiply
    229,864x = 356,825 × 356,825
  4. Step 4: Simplify right side
    229,864x = 127,324,080,625
  5. Step 5: Solve for x
    x = 127,324,080,625/229,864
  6. Step 6: Final answer
    x = 553,910.49

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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.