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Finding the Third Proportional to 225,258 and 337,218

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Solution

The third proportional to 225,258 and 337,218 is: 504,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,258 : 337,218 = 337,218 : x
  2. Step 2: Convert to fraction form
    225,258/337,218 = 337,218/x
  3. Step 3: Cross multiply
    225,258x = 337,218 × 337,218
  4. Step 4: Simplify right side
    225,258x = 113,715,979,524
  5. Step 5: Solve for x
    x = 113,715,979,524/225,258
  6. Step 6: Final answer
    x = 504,825.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.