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Finding the Third Proportional to 223,569 and 338,244

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Solution

The third proportional to 223,569 and 338,244 is: 511,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,569 : 338,244 = 338,244 : x
  2. Step 2: Convert to fraction form
    223,569/338,244 = 338,244/x
  3. Step 3: Cross multiply
    223,569x = 338,244 × 338,244
  4. Step 4: Simplify right side
    223,569x = 114,409,003,536
  5. Step 5: Solve for x
    x = 114,409,003,536/223,569
  6. Step 6: Final answer
    x = 511,739.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.