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Finding the Third Proportional to 110,823 and 229,530

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Solution

The third proportional to 110,823 and 229,530 is: 475,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,823 : 229,530 = 229,530 : x
  2. Step 2: Convert to fraction form
    110,823/229,530 = 229,530/x
  3. Step 3: Cross multiply
    110,823x = 229,530 × 229,530
  4. Step 4: Simplify right side
    110,823x = 52,684,020,900
  5. Step 5: Solve for x
    x = 52,684,020,900/110,823
  6. Step 6: Final answer
    x = 475,388.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.