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Finding the Third Proportional to 225,268 and 337,231

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Solution

The third proportional to 225,268 and 337,231 is: 504,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,268 : 337,231 = 337,231 : x
  2. Step 2: Convert to fraction form
    225,268/337,231 = 337,231/x
  3. Step 3: Cross multiply
    225,268x = 337,231 × 337,231
  4. Step 4: Simplify right side
    225,268x = 113,724,747,361
  5. Step 5: Solve for x
    x = 113,724,747,361/225,268
  6. Step 6: Final answer
    x = 504,842.00

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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.