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Finding the Third Proportional to 223,574 and 338,250

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Solution

The third proportional to 223,574 and 338,250 is: 511,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,574 : 338,250 = 338,250 : x
  2. Step 2: Convert to fraction form
    223,574/338,250 = 338,250/x
  3. Step 3: Cross multiply
    223,574x = 338,250 × 338,250
  4. Step 4: Simplify right side
    223,574x = 114,413,062,500
  5. Step 5: Solve for x
    x = 114,413,062,500/223,574
  6. Step 6: Final answer
    x = 511,745.83

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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.