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Finding the Third Proportional to 226,208 and 339,324

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Solution

The third proportional to 226,208 and 339,324 is: 509,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,208 : 339,324 = 339,324 : x
  2. Step 2: Convert to fraction form
    226,208/339,324 = 339,324/x
  3. Step 3: Cross multiply
    226,208x = 339,324 × 339,324
  4. Step 4: Simplify right side
    226,208x = 115,140,776,976
  5. Step 5: Solve for x
    x = 115,140,776,976/226,208
  6. Step 6: Final answer
    x = 509,004.00

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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.